5 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 6 instead of 5. Each friend ended up paying $1.10 less than the correct amount. What should be the correct amount for each share?
| |
5 friends |
6 friends |
| Number |
5 |
6 |
| Value |
1 u + 1.10 |
1 u |
| Total value |
5 u + 5.50 |
6 u |
Total cost of the souvenir if it was paid by 5 friends
= 5(1 u + 1.10)
= 5 u + 5.50
Total cost of the souvenir if it was paid by 6 friends = 6 u
6 u = 5 u + 5.50
6 u - 5 u = 5.50
1 u = 5.50
Correct amount for each share
= 1 u + 1.10
= 5.50 + 1.10
= $6.60
Answer(s): $6.60
