PSLE Eight children shared the cost of a souvenir equally. When calculating the amount for each share, one of the children made a mistake by dividing the cost of the souvenir by 7 instead of 8. Each child paid $1.70 more than his share. What should be the cost of the souvenir?
|
8 children |
7 children |
Number |
8 |
7 |
Value |
1 u |
1 u + 1.70 |
Total value |
8 u |
7 u + 11.90 |
Cost of the souvenir if shared by 8 children
= 8 x 1 u
= 8 u
Cost of the souvenir if shared by 7 children
= 7 x (1 u + 1.70)
= 7 u + 11.90
The total amount that the 8 children shared is the same as the total amount that the 7 children shared.
8 u = 7 u + 11.90
8 u - 7 u = 11.90
1 u = 11.90
Cost of the souvenir
= 8 u
= 8 x 11.90
= $95.20
Answer(s): $95.20