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 6 instead of 7. Each child paid $1.40 more than his share. What should be the cost of the gift?
|
7 children |
6 children |
Number |
7 |
6 |
Value |
1 u |
1 u + 1.40 |
Total value |
7 u |
6 u + 8.40 |
Cost of the gift if shared by 7 children
= 7 x 1 u
= 7 u
Cost of the gift if shared by 6 children
= 6 x (1 u + 1.40)
= 6 u + 8.40
The total amount that the 7 children shared is the same as the total amount that the 6 children shared.
7 u = 6 u + 8.40
7 u - 6 u = 8.40
1 u = 8.40
Cost of the gift
= 7 u
= 7 x 8.40
= $58.80
Answer(s): $58.80