Question

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?

Answer 1

Answer:

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.