If of a sum of money is $21, what is the sum of money?
1 unit =21
3 units = 21 × 3 = 63
The sum of money is $63
of a group of children were girls. If there were 24 girls, how many children were there in the group?
3 units = 24
1 unit = 24 ÷ 3 = 8
5 units = 5 × 8 = 40
There were 40 children in the group.
Bill had some stamps. He gave of them to Tim. If he gave 14 stamps to Tim, how many stamps had Bill at first?
2 units = 14
1 unit = 7
5 units = 7 × 5 = 35
Bill originally had 35 stamps.
Lionel bought 30 pizzas and burgers altogether. of the food bought were pizzas. How many burgers did he buy?
5 units = 30
1 unit = 6
3 units = 3 × 6 = 18
He bought 18 burgers.
Bar Modeling with Fractions
Problem 1: Grace thought that a plane journey would take 7/10 h but the actual journey took 1/5 h longer. How long did the actual journey take?
Problem 2: Timothy took 2/3 h to paint a portrait. This was 1/3 h shorter than the time he took to paint scenery. How long did he take to paint scenery?
Problem: A craft store has a 9 yd spool of ribbon. In the morning, a customer buys 1/5 yd of ribbon from the spool. In the afternoon another customer buys 7/10 yd of ribbon from the spool. How much ribbon is left?
This video uses bar models to solve a word problem that involves adding fractions with unlike denominators. The first step is to find the same denominator. Then add and subtract because you have the same unit or denominator.
Problem: Kayla counted her Halloween treats. She counted 1/4 of a pound of lollipops and 2/7 of a pound of gobstoppers. She also counted 1/3 of a pound of mints. How many pounds of candy did Kayla have altogether?
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