Fraction Word Problems (more difficult)

Here are some examples of more difficult fraction word problems. We will illustrate how block diagrams can be used to help you to visualize the fraction word problems in terms of the information given and the data that needs to be found.

Example:

of the people on a restaurant are adults. If there are 95 more children than adults, how many children are there in the restaurant?

Solution:

Draw a diagram with 9 equal parts: 2 parts to represent the adults and 7 parts to represent the children.

5 units = 95

1 unit = 95 ÷ 5 = 19

7 units = 7 × 19 = 133

There are 133 children in the restaurant.

Example:

Gary and Henry brought an equal amount of money for shopping. Gary spent $95 and Henry spent $350. After that Henry had of what Gary had left. How much money did Gary have left after shopping?

Solution:

350 – 95 = 255

3 units = 255

1 unit = 255 ÷ 3 = 85

7 units = 85 × 7 = 595

Gary has $595 after shopping.

Example:

of Peter’s shirts are striped. of the remainder are printed. The rest of the 81 shirts are plain colored shirts. How many more printed shirts than plain colored shirts does Peter have?

Solution:

Draw a diagram with 9 parts. One part represents striped shirts. Out of the remaining 8 parts: 5 parts represent the printed shirts and 3 parts represent plain colored shirts.

3 units = 81

1 unit = 81 ÷ 3 = 27

Printed shirts have 2 parts more than plain shirts.

2 units = 27 × 2 = 54

Peter has 54 more plain colored shirts than printed shirts.

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