PSLE Eight 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 7 instead of 8. Each pupil paid $1.60 more than his share. What should be the cost of the gift?
|
8 pupils |
7 pupils |
Number |
8 |
7 |
Value |
1 u |
1 u + 1.60 |
Total value |
8 u |
7 u + 11.20 |
Cost of the gift if shared by 8 pupils
= 8 x 1 u
= 8 u
Cost of the gift if shared by 7 pupils
= 7 x (1 u + 1.60)
= 7 u + 11.20
The total amount that the 8 pupils shared is the same as the total amount that the 7 pupils shared.
8 u = 7 u + 11.20
8 u - 7 u = 11.20
1 u = 11.20
Cost of the gift
= 8 u
= 8 x 11.20
= $89.60
Answer(s): $89.60