# Common Core: 3rd Grade Math : Solve Two-Step Word Problems Using the Four Operations: CCSS.Math.Content.3.OA.D.8

## Example Questions

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### Example Question #1 : Solve Two Step Word Problems Using The Four Operations: Ccss.Math.Content.3.Oa.D.8

Jessica has been collecting beads all summer. She started with  beads and by the end of the summer she was able to add  more beads to her collection.  On the first day of school she wants to evenly split the beads up amongst her  friends.  How many beads will each friend get?

Explanation:

To solve this problem, we first have to find our unknowns. Our unknowns are the number of beads she will have by the end of the summer and the number of beads each of her friends will receive. We can set up equations for these unknowns by letting  represent the beads that she has at the end of the summer and  represent the number of beads each of her friends will receive.

because she gets  more beads by the end of the summer.

because she is splitting up her total amount of beads between  friends. When you split something up evenly you divide.

### Example Question #2 : Solving Problems Involving The Four Operations, And Identifying And Explaining Patterns In Arithmetic

Emily has been collecting beads all summer. She started with  beads and by the end of the summer she was able to add  more beads to her collection.  On the first day of school she wants to evenly split the beads up amongst her  friends.  How many beads will each friend get?

Explanation:

To solve this problem, we first have to find our unknowns. Our unknowns are the number of beads she will have by the end of the summer and the number of beads each of her friends will receive. We can set up equations for these unknowns by letting  represent the beads that she has at the end of the summer and  represent the number of beads each of her friends will receive.

because she gets  more beads by the end of the summer.

because she is splitting up her total amount of beads between  friends. When you split something up evenly you divide.

### Example Question #3 : Solving Problems Involving The Four Operations, And Identifying And Explaining Patterns In Arithmetic

Justin loves to run and is training for a marathon at the end of the month. His training program has him running  miles three times during the week, and  miles on a weekend day. How many miles does he run in a week?

Explanation:

To solve this problem, we first have to find our unknowns. Our unknowns are the number of miles he runs during the week and the total miles that he runs. We can set up equations for these unknowns by letting  represent the miles that he runs during the weekdays and  represent the total miles that he runs in  week.

because he is running  miles  times.

because to find the total we need to add the miles he runs during the week and on the weekend.

### Example Question #4 : Solving Problems Involving The Four Operations, And Identifying And Explaining Patterns In Arithmetic

Jason loves to run and is training for a marathon at the end of the month. His training program has him running  miles three times a week, and  miles one time a week. How many miles does he run in a week?

Explanation:

To solve this problem, we first have to find our unknowns. Our unknowns are the number of miles he runs during the week and the total miles that he runs. We can set up equations for these unknowns by letting  represent the miles that he runs during the weekdays and  represent the total miles that he runs in  week.

because he is running  miles  times.

because to find the total we need to add the miles he runs during the week and on the weekend.

### Example Question #5 : Solving Problems Involving The Four Operations, And Identifying And Explaining Patterns In Arithmetic

Hannah is making a red fruit salad because red is her favorite color. She cuts up  pieces of watermelon and puts it in a bowl. Because she really loves strawberries, she wants  times as many pieces of strawberries as pieces of watermelon. Then she adds half as many raspberries as strawberries. How many pieces of fruit are in her fruit salad?

Explanation:

To solve this problem, we first have to find our unknowns. Our unknowns are the number strawberries and raspberries she puts in the fruit salad. We can set up equations for these unknowns by letting  represent strawberries and  represent raspberries.

because she has  times as many strawberries than watermelon.

because when we half something we always divide by

Now we need to add the watermelon, strawberries, and raspberries together to find our total.

### Example Question #6 : Solving Problems Involving The Four Operations, And Identifying And Explaining Patterns In Arithmetic

Hannah is making a red fruit salad because red is her favorite color. She cuts up  pieces of watermelon and puts it in a bowl. Because she really loves strawberries, she wants  times as many pieces of strawberries as pieces of watermelon. Then she adds half as many raspberries as strawberries. How many pieces of fruit are in her fruit salad?

Explanation:

To solve this problem, we first have to find our unknowns. Our unknowns are the number strawberries and raspberries she puts in the fruit salad. We can set up equations for these unknowns by letting  represent strawberries and  represent raspberries.

because she has  times as many strawberries than watermelon.

because when we half something we always divide by

Now we need to add the watermelon, strawberries, and raspberries together to find our total.

### Example Question #7 : Solving Problems Involving The Four Operations, And Identifying And Explaining Patterns In Arithmetic

Ali is hanging up flyers around her school. She started with  flyers. She hung  flyers around the east side of the building, but she hung half as many flyers on the west side of the building. How many flyers does she have left?

Explanation:

To solve this problem, we first have to find our unknowns. Our unknowns are the number of flyers that she hung on the west side of the building and the number of flyers she has left over. We can set up equations for these unknowns by letting  represent the flyers she hung on the west side and  represent the flyers that she has left.

because she hung half as many flyers on the west side as she hung on the east side. When we half something we always divide by .

To find the total number of flyers that she hung we add the amount of flyers on the east side and the amount on the west side.

To find how many flyers she has left, we subtract that total flyers that were hung from the  flyers that she started with.

### Example Question #2 : Solve Two Step Word Problems Using The Four Operations: Ccss.Math.Content.3.Oa.D.8

Sara is hanging up flyers around her school. She started with  flyers. She hung  flyers around the east side of the building, but she hung half as many flyers on the west side of the building. How many flyers does she have left?

Explanation:

To solve this problem, we first have to find our unknowns. Our unknowns are the number of flyers that she hung on the west side of the building and the number of flyers she has left over. We can set up equations for these unknowns by letting  represent the flyers she hung on the west side and  represent the flyers that she has left.

because she hung half as many flyers on the west side as she hung on the east side. When we half something we always divide by .

To find the total number of flyers that she hung we add the amount of flyers on the east side and the amount on the west side.

To find how many flyers she has left, we subtract that total flyers that were hung from the  flyers that she started with.

### Example Question #3 : Solve Two Step Word Problems Using The Four Operations: Ccss.Math.Content.3.Oa.D.8

In Spot’s toy basket he has  balls. There are  more stuffed animals than balls and there is double the number of ropes than balls. How many toys does Spot have in his basket?

Explanation:

To solve this problem, we first have to find our unknowns. Our unknowns are the number of ropes and stuffed animals that Spot has. We can set up equations for these unknowns by letting  represent ropes and  represent stuffed animals.

because he has  more stuffed animals than his  balls.

because double means  times more.

Now we need to add up our number of balls, stuffed animals and ropes to find our total.

### Example Question #10 : Solving Problems Involving The Four Operations, And Identifying And Explaining Patterns In Arithmetic

Charlie swims laps in the pool every day during the week before school. On Monday and Tuesday he swims  laps each day. On Wednesday and Thursday he triples the number of laps he swims. By Friday, he does  less laps than he does on Monday. How many total laps does he swim during the week?

Explanation:

To solve this problem, we first have to find our unknowns. Our unknowns are the number of laps he swims on Wednesday and Thursday and the number of laps he swims on Friday. We can set up equations for these unknowns by letting  represent the laps that he swims on Wednesday and Thursday and  represent the number of laps he swims on Friday.

because when we triple something we multiply by .

because he is swimming  less laps than he did on Monday, which means we subtract.

To find the total amount of laps that he swam, we need to add up the laps that he did each day.

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