6 students shared the cost of a souvenir equally. When calculating the amount each student had to pay, a mistake was made. The cost of the souvenir was divided by 7 instead of 6. Each student ended up paying $3.30 less than the correct amount. What should be the correct amount for each share?
|
6 students |
7 students |
Number |
6 |
7 |
Value |
1 u + 3.30 |
1 u |
Total value |
6 u + 19.80 |
7 u |
Total cost of the souvenir if it was paid by 6 students
= 6(1 u + 3.30)
= 6 u + 19.80
Total cost of the souvenir if it was paid by 7 students = 7 u
7 u = 6 u + 19.80
7 u - 6 u = 19.80
1 u = 19.80
Correct amount for each share
= 1 u + 3.30
= 19.80 + 3.30
= $23.10
Answer(s): $23.10