6 friends shared the cost of a souvenir equally. When calculating the amount each friend had to pay, a mistake was made. The cost of the souvenir was divided by 7 instead of 6. Each friend ended up paying $1.10 less than the correct amount. What should be the correct amount for each share?
| |
6 friends |
7 friends |
| Number |
6 |
7 |
| Value |
1 u + 1.10 |
1 u |
| Total value |
6 u + 6.60 |
7 u |
Total cost of the souvenir if it was paid by 6 friends
= 6(1 u + 1.10)
= 6 u + 6.60
Total cost of the souvenir if it was paid by 7 friends = 7 u
7 u = 6 u + 6.60
7 u - 6 u = 6.60
1 u = 6.60
Correct amount for each share
= 1 u + 1.10
= 6.60 + 1.10
= $7.70
Answer(s): $7.70
