Question

At a bargain store, Tanya bought 3 items that each cost the same amount.. Tony bought 4 items that cost the same amount , but each was $2.25 less then the items Tonya bought. Both tNya and tony paid the same amount of money. What was the individual cost of each persons items?

(A) Write an equation. Let x represent the cost of one of Tanya's items.

(B) Solve the equation.

(C) Check your solution

(D) State the solution

Answer 1

3x = 4(x - 2.25)

Answer 2

To solve it, your first step would be to distribute the 4

Answer 3

Tanya: x is the amount per item.
3 items cost: 3*x

Tony: y is the amount per item
4 items cost 4*y

Tanya and Tony spend the same amount of money for purchased items.

That means:

3*x = 4*y

But each of Tony's items is $2.25 less than each of Tanya's items.

y = x - 2.25

Go back to:

3*x = 4*y

3*x = 4*(x - 2.25) substituting x - 2.25 for y

3x = 4x - 9

Solve for x to get the cost per item for Tanya. @superkay

Post what you get. Then, we can finish the problem, okay?

Answer 4

9?

Answer 5

@directrix

Answer 6

Yes, 9. Good job

Answer 7

So if Tanya's cost $9, how much did Tony's cost?

Answer 8

Tonys Items:

y = 9 - 2.25

y = ? @superkay

Answer 9

6.75

Answer 10

right

Answer 11

Correct.

(C) Check your solution

Show that this is true:

3*x = 4*y

3* 9 = 4* 6.75 @superkay Show that this is a true statement

Answer 12

What is 3*9 =

What is 4*6.75 =

Answer 13

27

Answer 14

@directrix

Answer 15

yes 3*9 = 27

Answer 16

and so does 4*6.75

So, you know you're answers are correct