Question

99 POINTS!!!!!!!

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. Solve the equation. Show your work. Check your solution. Show your work. State the solution in complete sentences.

Answer 1

Tony's items would be x-2.25. So:
3x=4(x-2.25)
3x=4x-9
x=9
x-2.25=6.75
Tanya spent $9 on each item; Tony spent $6.75 on each of his items.

Hope this helps

Answer 2

Cost of one of Tanya's item = $9.00

Cost of one of Tony's item = $6.75

Explanation:

Let X represent the cost of one of Tanya's item

Then Tanya bought 3 items. She paid M = 3*X

Tony bought 4 items. He paid M = 4 *(X - $2.25)

Both Tanya and Tony paid the same amount of money, then

3*X = 4 *(X - $2.25)

3X = 4X -$9.00

4X - 3X = $9.00

X = $9.00 Cost of one of Tanya's items

X-$2.25= $9.00 - $2.25 = $6.75 Cost of one of Tony's items.

Tanya paid 3*$9.00 = $27.00

Tony paid 4*$6.75 = $27.00

Both Tanys and Tony paid the same amount of money = $27


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