6 students shared the cost of a present equally. When calculating the amount each student had to pay, a mistake was made. The cost of the present was divided by 7 instead of 6. Each student ended up paying $1.70 less than the correct amount. What should be the correct amount for each share?
|
6 students |
7 students |
Number |
6 |
7 |
Value |
1 u + 1.70 |
1 u |
Total value |
6 u + 10.20 |
7 u |
Total cost of the present if it was paid by 6 students
= 6(1 u + 1.70)
= 6 u + 10.20
Total cost of the present if it was paid by 7 students = 7 u
7 u = 6 u + 10.20
7 u - 6 u = 10.20
1 u = 10.20
Correct amount for each share
= 1 u + 1.70
= 10.20 + 1.70
= $11.90
Answer(s): $11.90