99 !

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.

X=cost of one of Tanya´s items.
Tanya spent: 3x
Tony spent:4(x-2.25)

We can suggest this equation:
3x=4(x-2.25)

We solve this equation:
3x=4(x-2.25)
3x=4x-9
3x-4x=-9
-x=-9
x=9

The individual cost of each person´s item would be:
cost of one of Tanya´s items=x=9
Cost of one of Tony´s items=(x-2.25)=6.75

the cost of one of Tanya´s items was $9, and the cost of one of Tony´s items was $6.75, the equation used was [  3x=4(x-2.25)  ] .

We check it out our  

Tanya spent: 3x=3(9)=27
Tony spent:4(x-2.25)=4(9-2.25)=4(6.75)=27

Because Tanya spent the same amount of money than Tony, and Tanya bought 3 items and Tony bought 4 items, this solution is right. 

Can you provide the tape diagram?

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0

the value of x is equal to 0.