Question

3. 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?
(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

(a) 3x=4(x-2.25) (or simplified: 3x=4x-9)

(b) 3x=4x-9
0=x-9
x=$9

(c) 3x9=27
4x9=36
36-9=27
and 27=27 therefore they spent the same and it is correct

(d) Tanya's items cost $9 each and Tony's items cost $2.25 less than this, or $6.75