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PSAT/NMSQT
PSAT Math Test - Calculator Section

Finding Bicycles from Vehicle Ratio

Very Hard Problem Solving And Data Analysis Ratios And Proportions

In a certain town, the ratio of the number of bicycles to the number of cars is 3:5. If there are a total of 240 vehicles (bicycles and cars) in the town, how many bicycles are there?

Let the number of bicycles be represented by b and the number of cars be c. Based on the ratio, we can express the relationship as:

$$ \f\frac{b}{c} = \f\frac{3}{5} $$

From the total number of vehicles, we also have:

$$ b + c = 240 $$

Using these equations, find the number of bicycles.

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