PSLE Eight children shared the cost of a present equally. When calculating the amount for each share, one of the children made a mistake by dividing the cost of the present by 7 instead of 8. Each child paid $4.70 more than his share. What should be the cost of the present?
|
8 children |
7 children |
Number |
8 |
7 |
Value |
1 u |
1 u + 4.70 |
Total value |
8 u |
7 u + 32.90 |
Cost of the present if shared by 8 children
= 8 x 1 u
= 8 u
Cost of the present if shared by 7 children
= 7 x (1 u + 4.70)
= 7 u + 32.90
The total amount that the 8 children shared is the same as the total amount that the 7 children shared.
8 u = 7 u + 32.90
8 u - 7 u = 32.90
1 u = 32.90
Cost of the present
= 8 u
= 8 x 32.90
= $263.20
Answer(s): $263.20