At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 5 items that each cost the same amount, but each was $1.50 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items?

Question

Mathematics

Vasquez

17 June, 08:20

At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 5 items that each cost the same amount, but each was $1.50 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items?

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Answers (1)

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Kaylie Mccarty · Answer 1

Step-by-step explanation:

First we create an equation to represent the problem.

3 (X) = 5 (X - $1.50

Next we distribute the term 5 on the right side.

3 (X) = 5 (X) - $7.50

Add $7.50 to each side and simplify.

3 (X) + $7.50 = 5 (X)

Now subtract 3 (X) from both sides and simplify.

$7.50 = 2 (X)

Divide both sides by 2 and simplify.

$3.75 = X

This is the price of one of Tanya's items. Subtract $1.50 to see Tony's item price.