IXL | Multi-step word problems: multiplicative comparison

Students at Hillview Middle School have two choices for hot lunch every day. On Monday, 351 students ate hot lunch. There were 8 times as many students who chose tacos as chose pizza.

How many students chose tacos for hot lunch on Monday?

students

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Learn with an example

question

The city of Libertyville has a public bus system for transportation. Passengers can pay with cash or use a bus pass. Last week, 1,352 passengers rode a bus. There were 12 times as many passengers who used a bus pass as passengers who paid with cash.

How many passengers used a bus pass last week?

passengers

solution

You need to find how many bus rides were taken using a bus pass. Start with the information in the problem.

There were 1,352 passengers altogether.
12 times as many passengers used a bus pass as paid with cash.

You can use a diagram to model the problem. 12 times as many passengers used a bus pass as paid with cash. So, draw 1 box to represent the number of passengers who paid with cash and 12 boxes to represent the number of passengers who used a bus pass.

cash

bus pass

There are 13 boxes in the diagram in all. A total of 1,352 passengers rode a bus. So, each box represents

1,352

passengers. Divide.

–

Each box represents 104 passengers. There are 12 boxes for passengers who used a bus pass. Multiply to find the number of passengers who used a bus pass.

A total of 1,248 passengers used a bus pass last week.

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