PSLE Seven students shared the cost of a gift equally. When calculating the amount for each share, one of the students made a mistake by dividing the cost of the gift by 6 instead of 7. Each student paid $3.10 more than his share. What should be the cost of the gift?
|
7 students |
6 students |
Number |
7 |
6 |
Value |
1 u |
1 u + 3.10 |
Total value |
7 u |
6 u + 18.60 |
Cost of the gift if shared by 7 students
= 7 x 1 u
= 7 u
Cost of the gift if shared by 6 students
= 6 x (1 u + 3.10)
= 6 u + 18.60
The total amount that the 7 students shared is the same as the total amount that the 6 students shared.
7 u = 6 u + 18.60
7 u - 6 u = 18.60
1 u = 18.60
Cost of the gift
= 7 u
= 7 x 18.60
= $130.20
Answer(s): $130.20