PSLE Six 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 6. Each child paid $4.10 less than his share. What should be the cost of the souvenir?
|
7 children |
6 children |
Number |
7 |
6 |
Value |
1 u |
1 u + 4.10 |
Total value |
7 u |
6 u + 24.60 |
Cost of the souvenir if shared by 7 children
= 7 x 1 u
= 7 u
Cost of the souvenir if shared by 6 children
= 6 x (1 u + 4.10)
= 6 u + 24.60
The total amount that the 7 children shared is the same as the total amount that the 6 children shared.
7 u = 6 u + 24.60
7 u - 6 u = 24.60
1 u = 24.60
Cost of the souvenir
= 7 u
= 7 x 24.60
= $172.20
Answer(s): $172.20