PSLE Seven children shared the cost of a gift equally. When calculating the amount for each share, one of the children made a mistake by dividing the cost of the gift by 8 instead of 7. Each child paid $4.80 less than his share. What should be the cost of the gift?
|
8 children |
7 children |
Number |
8 |
7 |
Value |
1 u |
1 u + 4.80 |
Total value |
8 u |
7 u + 33.60 |
Cost of the gift if shared by 8 children
= 8 x 1 u
= 8 u
Cost of the gift if shared by 7 children
= 7 x (1 u + 4.80)
= 7 u + 33.60
The total amount that the 8 children shared is the same as the total amount that the 7 children shared.
8 u = 7 u + 33.60
8 u - 7 u = 33.60
1 u = 33.60
Cost of the gift
= 8 u
= 8 x 33.60
= $268.80
Answer(s): $268.80