Example Question #1 : Solving Multi Step Problems
The first 60 miles of a 100-mile trip took one hour; the whole trip took two hours and fifteen minutes. To the nearest whole, what was the average speed during the remaining 40 miles of the trip?
32 miles per hour
50 miles per hour
40 miles per hour
36 miles per hour
32 miles per hour
The average speed during a trip of miles over a period of hours is miles per hour. Here, the distance driven is 40 miles; the time it took was two hours and fifteen minutes total minus the hour for the first 40 miles, which is one hour and fifteen minutes. Since fifteen minutes is equal to
hours, we get
Therefore, the average speed traveled during the second part of the trip is
miles per hour.
Example Question #2 : Solving Multi Step Problems
Jeremy has pieces of candy. Maggie has half as many pieces of candy as Jeremy has, and Harold has twice as many pieces of candy as Jeremy and Maggie combined. How many pieces of candy does Harold have?
Start by finding how many pieces of candy Maggie has. Since she has half as many as Jeremy, she must have pieces. Then, Jeremy and Maggie have pieces of candy together. Since Harold has twice as many as the two of them together, Harold must have pieces of candy.
Example Question #3 : Solving Multi Step Problems
Taylor is years old. Her father is three times her age. Her mother is two years older than her father. What is the sum of the ages of Taylor, her father, and her mother?
Start by multiplying Taylor's age by to find her father's age.
Her father must be years old. Since her mother is two years older than her father, her mother must be years old.
Now, add up all their ages to find the sum of their ages.
Example Question #4 : Solving Multi Step Problems
When Steve started his diet, he weighed pounds. After the first month, he lost of his weight. In his second month, he lost of the remaining weight. How many pounds does Steve weigh now?
Start by finding how much weight Steve lost after the first month. Since he lost of his starting weight of , he must have lost pounds.
This means that at the end of his first month, he weighed pounds.
Since he lost of his remaining weight in the second month, he must have lost pounds from his pounds.
Thus, Steve must weigh pounds now.
Example Question #5 : Solving Multi Step Problems
A school library uses shelves that can hold books. If they have shelves that are completely full and one shelf that is only full, how many books does the library have?
Start by finding out how many books the full shelves can hold by multiplying it by the number of books held per shelf.
Next, find out how many books are held by the shelf that is not completely full.
Now, add the two together to find how many books total are in the library.