4th Grade Math - Use the Four Operations to Solve Word Problems Involving Various Measures: CCSS.Math.Content.4.MD.A.2

Today Jenny worked on homework for minutes when she got home from school and then worked on homework for hours after dinner. In minutes, what was the total time that Jenny spent working on homework?

$240\ \space minutes$

$230\ \space minutes$

$220\ \space minutes$

$210\ \space minutes$

$200\ \space minutes$

Explanation

The first thing we need to do is put our hours into minutes because our final answer is asking for minutes. We know that . We can set up a proportion and cross multiply to solve.

$\frac{1hr}{60min}=\frac{2hr}{x}$

Then we can divide to isolate the .

$\frac{1hr(x)}{1hr}=\frac{60min(2hr)}{1hr}$

Now we can add our minutes from before and after dinner together to find our total.

Jessica ran sprints for seconds, and Megan ran sprints for minutes. How many more minutes did Megan run than Jessica?

$5\ \space minutes$

$4\ \space minutes$

$3\ \space minutes$

$2\ \space minutes$

$1\ \space minutes$

Explanation

The first thing we need to do is put our seconds into minutes because our final answer is asking for minutes. We know that . We can set up a proportion and cross multiply to solve.

$\frac{1min}{60sec}=\frac{x}{120sec}$

Then we can divide to isolate the .

$\frac{60sec(x)}{60sec}=\frac{120sec(1min)}{60sec}$

Now we need to subtract to find our difference.

Hannah has a bag of peanuts that she is going to divide evenly between her four friends. How many ounces of peanuts does she give to each friend?

Explanation

The first thing we need to do is put our pounds into ounces because our final answer is asking for ounces. We know that . We can set up a proportion and cross multiply to solve.

$\frac{1lb}{16oz}=\frac{4lb}{x}$

Then we can divide to isolate the .

$\frac{1lb(x)}{1lb}=\frac{16oz(4lb)}{1lb}$

Now we need to divide our by because we are splitting the peanuts up equally between people.

$64oz\div4=16oz$

A zookeeper was measuring the snakes during health checks. The ball python was three feet long, and the king cobra was six feet long. What is the difference between the ball python and the king cobra's length in inches?

Explanation

The first thing we need to do is put our feet into inches because our final answer is asking for inches. We know that . We can set up a proportion and cross multiply to solve for the ball python first.

$\frac{1ft}{12in}=\frac{3ft}{x}$

Then we can divide to isolate the .

$\frac{1ft(x))}{1ft}=\frac{3ft(12in)}{1ft}$

Next, we will solve for the king cobra's length in inches.

$\frac{1ft}{12in}=\frac{6ft}{x}$

Then we can divide to isolate the .

$\frac{1ft(x))}{1ft}=\frac{6ft(12in)}{1ft}$

Finally, we need to find the difference between the two snakes' lengths by subtracting them.

The snakes have a difference of in length.

Matt studied for minutes everyday from Monday-Friday. How many total hours did he spend studying?

Explanation

The first thing we need to do is put our minutes into hours because our final answer is asking for hours. We know that . We can set up a proportion and cross multiply to solve.

$\frac{1hr}{60min}=\frac{x}{180min}$

Then we can divide to isolate the .

$\frac{60min(x)}{60min}=\frac{180min(1hr)}{60min}$

Now we need to multiply $3\times5$ because Matt studied for hours each day.

$3hr\times5=15hr$

On Saturday Jake raked leaves for minutes and on Sunday he raked leaves for hours. In hours, how much total time did he spend raking on both Saturday and Sunday?

Explanation

The first thing we need to do is put our minutes into hours because our final answer is asking for hours. We know that . We can set up a proportion and cross multiply to solve.

$\frac{1hr}{60min}=\frac{x}{180min}$

Then we can divide to isolate the .

$\frac{60min(x)}{60min}=\frac{1hr(180min)}{60min}$

Now we can add our hours together to find the total.

On Saturday Natalie practiced her clarinet for minutes and on Sunday she practiced for hours. In hours, how much total time did she spend practicing on both Saturday and Sunday?

Explanation

The first thing we need to do is put our minutes into hours because our final answer is asking for hours. We know that . We can set up a proportion and cross multiply to solve.

$\frac{1hr}{60min}=\frac{x}{120min}$

Then we can divide to isolate the .

$\frac{60min(x)}{60min}=\frac{1hr(120min)}{60min}$

Now we can add our hours together to find the total.

Natalie spent hours practicing her clarinet on both Saturday and Sunday.

Melissa ran sprints for $180\textup{ seconds}$ , and Megan ran sprints for $5\textup { minutes}$ . How many more minutes did Megan run than Jessica?

$2\textup { minutes}$

$3\textup { minutes}$

$4\textup { minutes}$

$5\textup { minutes}$

$6\textup { minutes}$

Explanation

The first thing we need to do is put our seconds into minutes because our final answer is asking for minutes. We know that . We can set up a proportion and cross multiply to solve.

$\frac{1min}{60sec}=\frac{x}{180sec}$

Then we can divide to isolate the .

$\frac{60sec(x)}{60sec}=\frac{180sec(1min)}{60sec}$

Now we need to subtract to find our difference.

Joe’s school is feet from his house, and his classroom is another inches once he gets to the school. In inches, how far does he walk to his classroom?

$120\ \speace inches$

$41\ \speace inches$

$58\ \speace inches$

$100\ \speace inches$

$90\ \speace inches$

Explanation

The first thing we need to do is put our feet into inches because our final answer is asking for inches. We know that . We can set up a proportion and cross multiply to solve.

$\frac{1ft}{12in}=\frac{7ft}{x}$

Then we can divide to isolate the .

$\frac{1ft(x))}{1ft}=\frac{7ft(12in)}{1ft}$

Now we can add our inches together to find our total.

Sarah walked $5\textup { feet}$ to the stop sign, and then $24\textup{ inches}$ to her friend’s house. In feet, how far did she walk?

Explanation

The first thing we need to do is put our inches into feet because our final answer is asking for feet. We know that . We can set up a proportion and cross multiply to solve.