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?

Answer 1

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

Then the cost of one of Tony's items =x - 2.25. But we have:

3x =4(x - 2.25)

3x =4x - 9 subtract 3x from both sides

0 =x - 9 add 9 to both sides

x=$9 The cost of one of Tanya's items

27 Total cost of Tanya's 3 items

2.25 =$6.75 cost of one of Tony's items.

27 Total cost of Tony's 4 items.

3 x 6.75 =$27. This shows that both Tony and Tanya spent the same amount of money.

Explanation: