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

Kevin Phelps

6 September, 05:11

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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Aniya · 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.