PSLE Seven 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 8 instead of 7. Each child paid $1.30 less than his share. What should be the cost of the souvenir?
|
8 children |
7 children |
Number |
8 |
7 |
Value |
1 u |
1 u + 1.30 |
Total value |
8 u |
7 u + 9.10 |
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 + 1.30)
= 7 u + 9.10
The total amount that the 8 children shared is the same as the total amount that the 7 children shared.
8 u = 7 u + 9.10
8 u - 7 u = 9.10
1 u = 9.10
Cost of the souvenir
= 8 u
= 8 x 9.10
= $72.80
Answer(s): $72.80