Question

I NEED HELP ASAP 85 POINTS At a bargain store, Tanya bought 5 items that each cost the same amount. Tony bought 3 items that each cost the same amount, but each was $2.5 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?

(A)Write an equation. Let x represent the cost of one of Tanya's items.
(B)Solve the equation. Show your work.
(C)Check your solution. Show your work.
(D)State the solution in complete sentences.

Answer 1

Explanation:

A) 5x = 3(x - 2.5)

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B)

Distribute

5x = 3x - 7.5

Subtract 3x from both sides

2x = -7.5

Divde both sides by 2

x = -3.75

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C)

5 * (-3.75) = 3(-3.75 - 2.5)

-18.75 = -18.75

D)

Tanya paid –$3.75 for each of 5 items

Tony paid –$6.25 for each of 3 items

There seems to be an error in the question since the cost of items is negative

Tony bought fewer items and paid less for each.