4 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 5 instead of 4. Each student ended up paying $2.30 less than the correct amount. What should be the correct amount for each share?
|
4 students |
5 students |
Number |
4 |
5 |
Value |
1 u + 2.30 |
1 u |
Total value |
4 u + 9.20 |
5 u |
Total cost of the souvenir if it was paid by 4 students
= 4(1 u + 2.30)
= 4 u + 9.20
Total cost of the souvenir if it was paid by 5 students = 5 u
5 u = 4 u + 9.20
5 u - 4 u = 9.20
1 u = 9.20
Correct amount for each share
= 1 u + 2.30
= 9.20 + 2.30
= $11.50
Answer(s): $11.50