Question 1195141
i get the following.
p = purchase price.
c = original change
c-1 = correct change
since p = 2 * the original change, then p = 2c
20 dollars was used to pay for the purchase price.
20 minus the purchase price equals the change.
therefore:
c = 20 - p
since p = 2c, you get:
c = 20 - 2c
solve for c to get:
c = 20/3
that's the original change.
the corrected change is c - 1 = 20/3 - 3/3 = 17/3.
you were asked what the value of c was.
that's the original change.
your solution is that the original change = c = 20/3 = 6.67 rounded to the nearest penny.
to confirm 6.67 as the original change equal to c, i did the following:
the purchase price was 14.33.
the original change was 6.67
20 - 6.67 = 13.3
that's 1 dollar short of the purchase price.
to correct, 1 dollar was given back.
that made the purchase price equal to 20 - 5.67 = 14.33, correcting the mistake.
let me know if you have any questions.
theo