At a bargain store. tanya bought 5 items that each cost the same amount. tony bought 6 items that each cost the same amount, but each was $1.75 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 the solution. show your work (d) state the solution in complete sentences i have no idea how to do this .. explain..

Let x represent the cost of one of Tanya's items. Since each item that Tony bought was $1.75 less than the items that Tanya bought, then x-1.75 represent the cost of one of Tony's items.

Tanya bought 5 items, each cost x, then the total amount is 5x.

Tony bought 6 items, each cost x-1.75, then the total amount is 6(x-1.75).

If both Tanya and Tony paid the same amount of money, then

(a) 5x=6(x-1.75).

Let's solve it:

(b) 5x=6x-10.5,

5x-6x=-10.5,

-x=-10.5,

x=10.5.

(c) Substitute x=10.5 into equation:

5·10.5=52.5,

6·(10.5-1.75)=6·8.75=52.5

52.5=52.5

(d) The individual cost of Tanya's items is $10.5 and the individual cost of Tony's items is $8.75.

take it another