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 $1.30 more than his share. What should be the cost of the gift?
|
7 children |
6 children |
Number |
7 |
6 |
Value |
1 u |
1 u + 1.30 |
Total value |
7 u |
6 u + 7.80 |
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 + 1.30)
= 6 u + 7.80
The total amount that the 7 children shared is the same as the total amount that the 6 children shared.
7 u = 6 u + 7.80
7 u - 6 u = 7.80
1 u = 7.80
Cost of the gift
= 7 u
= 7 x 7.80
= $54.60
Answer(s): $54.60