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 8 instead of 7. Each student paid $3.20 less than his share. What should be the cost of the gift?
|
8 students |
7 students |
Number |
8 |
7 |
Value |
1 u |
1 u + 3.20 |
Total value |
8 u |
7 u + 22.40 |
Cost of the gift if shared by 8 students
= 8 x 1 u
= 8 u
Cost of the gift if shared by 7 students
= 7 x (1 u + 3.20)
= 7 u + 22.40
The total amount that the 8 students shared is the same as the total amount that the 7 students shared.
8 u = 7 u + 22.40
8 u - 7 u = 22.40
1 u = 22.40
Cost of the gift
= 8 u
= 8 x 22.40
= $179.20
Answer(s): $179.20