Question

at a bargain store, Tanya bought 4 items that each cost the same amount. Tony bought 5 items that each cost the same amount, but each was 1.25 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

1. You can call $x$ to the cost of each one of Tanya's items and $y$ to the cost of each one of Tony's items.

2. Based on the information given in the problem and knowing that both paid the same amount of money, you can write the following expression:

$5(x-1.25)=4x$

3. You must solve for $x$:

$5x-6.25=4x\\ x=6.25$

4. The total amount of money that Tanya and Tony paid was:

$4x=4(6.25)=25$ dollars

5. Therefore, the amount of money that Tony paid for each item was:

$y=\frac{25}{5} =5$ dollars

The answer is:  The individual cost of each Tanya's items is $6.25$ dollars and the individual cost of each Tony's items is $5$ dollars.