6 friends shared the cost of a present equally. When calculating the amount each friend had to pay, a mistake was made. The cost of the present was divided by 7 instead of 6. Each friend ended up paying $2.90 less than the correct amount. What should be the correct amount for each share?
| |
6 friends |
7 friends |
| Number |
6 |
7 |
| Value |
1 u + 2.90 |
1 u |
| Total value |
6 u + 17.40 |
7 u |
Total cost of the present if it was paid by 6 friends
= 6(1 u + 2.90)
= 6 u + 17.40
Total cost of the present if it was paid by 7 friends = 7 u
7 u = 6 u + 17.40
7 u - 6 u = 17.40
1 u = 17.40
Correct amount for each share
= 1 u + 2.90
= 17.40 + 2.90
= $20.30
Answer(s): $20.30
