Block modeling (also known as tape diagrams or bar models) are widely used in Singapore Math and the Common Core to help students visualize and understand math word problems.
2/9 of the people on a restaurant are adults. If there are 95 more children than adults, how many children are there in the restaurant?
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.
Gary and Henry brought an equal amount of money for shopping. Gary spent $95 and Henry spent $350. After that Henry had 4/7 of what Gary had left. How much money did Gary have left after shopping?
350 – 95 = 255
3 units = 255
1 unit = 255 ÷ 3 = 85
7 units = 85 × 7 = 595
Answer: Gary has $595 after shopping.
1/9 of the shirts sold at Peter's shop are striped. 5/8 of the remainder are printed. The rest of the shirts are plain colored shirts. If Peter's shop has 81 plain colored shirts, how many more printed shirts than plain colored shirts does the shop have?
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's shop has 54 more printed colored shirts than plain shirts.Solve a problem involving fractions of fractions and fractions of remaining parts
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