PSLE Seven pupils shared the cost of a gift equally. When calculating the amount for each share, one of the pupils made a mistake by dividing the cost of the gift by 6 instead of 7. Each pupil paid $4.10 more than his share. What should be the cost of the gift?
|
7 pupils |
6 pupils |
Number |
7 |
6 |
Value |
1 u |
1 u + 4.10 |
Total value |
7 u |
6 u + 24.60 |
Cost of the gift if shared by 7 pupils
= 7 x 1 u
= 7 u
Cost of the gift if shared by 6 pupils
= 6 x (1 u + 4.10)
= 6 u + 24.60
The total amount that the 7 pupils shared is the same as the total amount that the 6 pupils shared.
7 u = 6 u + 24.60
7 u - 6 u = 24.60
1 u = 24.60
Cost of the gift
= 7 u
= 7 x 24.60
= $172.20
Answer(s): $172.20