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 Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person’s items?

The individual cost of each person’s items was $ 9 for Tanya and $6.75 for Tony

Step-by-step explanation:

First we have to find 2 equations to express the problem

x = value of each item

y = total amount of money

3x = y

4 ( x - 2.25 ) = y

we replace the y by (3x) in the second equation and obtain the value of x

4 ( x - 2.25 ) = y

4 ( x - 2.25 ) = 3x

4x - 9 = 3x

4x - 3x = 9

x = 9

9 - 2.25 = 6.75

this means that the individual cost of each person’s items was $ 9 for Tanya and $6.75 for Tony

the individual cost of Tanya's items is $9

the individual cost of Tony's items is $6.75

Step-by-step explanation:

Let x represent the individual cost of Tanya's items.

Let y represent the individual cost of Tony's items.

Each of the items that Tony bought was $2.25 less than the items Tanya bought. It means that

x = y + 2.25

Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount. Both Tanya and Tony paid the same amount of money. It means that

3x = 4y- - - - - - - - - -1

Substituting x = y + 2.25 into equation 1, it becomes

3(y + 2.25) = 4y

3y + 6.75 = 4y

4y - 3y = 6.75

y = 6.75

x = y + 2.25 = 6.75 + 2.25

x = 9

77

step-by-step explanation: