6 girls shared the cost of a souvenir equally. When calculating the amount each girl had to pay, a mistake was made. The cost of the souvenir was divided by 7 instead of 6. Each girl ended up paying $2.10 less than the correct amount. What should be the correct amount for each share?
|
6 girls |
7 girls |
Number |
6 |
7 |
Value |
1 u + 2.10 |
1 u |
Total value |
6 u + 12.60 |
7 u |
Total cost of the souvenir if it was paid by 6 girls
= 6(1 u + 2.10)
= 6 u + 12.60
Total cost of the souvenir if it was paid by 7 girls = 7 u
7 u = 6 u + 12.60
7 u - 6 u = 12.60
1 u = 12.60
Correct amount for each share
= 1 u + 2.10
= 12.60 + 2.10
= $14.70
Answer(s): $14.70