6 boys shared the cost of a souvenir equally. When calculating the amount each boy had to pay, a mistake was made. The cost of the souvenir was divided by 7 instead of 6. Each boy ended up paying $3.90 less than the correct amount. What should be the correct amount for each share?
|
6 boys |
7 boys |
Number |
6 |
7 |
Value |
1 u + 3.90 |
1 u |
Total value |
6 u + 23.40 |
7 u |
Total cost of the souvenir if it was paid by 6 boys
= 6(1 u + 3.90)
= 6 u + 23.40
Total cost of the souvenir if it was paid by 7 boys = 7 u
7 u = 6 u + 23.40
7 u - 6 u = 23.40
1 u = 23.40
Correct amount for each share
= 1 u + 3.90
= 23.40 + 3.90
= $27.30
Answer(s): $27.30