Question

At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount, but each was $2.25 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? Write an equation. Let x represent the cost of one of Tanya's items.

Answer 1

Cost of one of Tanya's items = $9

Cost of one of Tony's items = $ 6.75

Explanation:

Let x represent the cost of one of Tanya's items.

At a bargain store, Tanya bought 3 items that each cost the same amount.

= 3 × x = 3x

Tony bought 4 items that each cost the same amount, but each was $2.25 less than the items that Tanya bought.

4(x - 2.25)

= 4x - 9

Both Tanya and Tony paid the same amount of money. Write an equation.

3x = 4x - 9

What was the individual cost of each person's items?

3x = 4x-9

Collect like terms

3x - 4x = -9

-x = -9

x = 9

Hence,

Cost of one of Tanya's items = x = $9

Cost of one of Tony's items

= x - 2.25

= 9 - 2.25

= $ 6.75