The snack stand at an ice-skating rink sells warm drinks to cold skaters. Skaters can choose from hot chocolate, apple cider, or coffee. Last weekend, skaters bought 126 cups of hot chocolate, apple cider, or coffee in all. They bought twice as many cups of hot chocolate as cups of apple cider. They bought 3 times as many cups of coffee as cups of apple cider. How many cups of hot chocolate did skaters buy last weekend?

The correct answer is 42

Step-by-step explanation:

You need to find how many cups of hot chocolate skaters bought last weekend. Start with the information in the problem.

Skaters bought 126 cups of hot chocolate, apple cider, or coffee in all.

They bought twice as many cups of hot chocolate as cups of apple cider.

They bought 3 times as many cups of coffee as cups of apple cider.

You can use a diagram to model the problem. Skaters bought the fewest number of cups of apple cider, so start with apple cider.

Skaters bought twice as many cups of hot chocolate as cups of apple cider. So, draw 1 box to represent the number of cups of apple cider and 2 boxes to represent the number of cups of hot chocolate.

apple cider

hot chocolate

coffee

Skaters bought 3 times as many cups of coffee as cups of apple cider. There is 1 box for apple cider. So, draw 3 boxes to represent the number of cups of coffee.

apple cider = 1 box

hot chocolate = 2 box

coffee = 3 box

There are 6 boxes in the diagram in all. Skaters bought a total of 126 cups of hot chocolate, apple cider, or coffee. So, each box represents 126÷6 cups. Divide.

21

6

126

–12

06

–  6

0

Each box represents 21 cups. There are 2 boxes for hot chocolate. Multiply to find the number of cups of hot chocolate skaters bought.

21

×  2

42

Skaters bought 42 cups of hot chocolate last weekend.

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