PSLE Three 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 4 instead of 3. Each child paid $4.60 less than his share. What should be the cost of the souvenir?
|
4 children |
3 children |
Number |
4 |
3 |
Value |
1 u |
1 u + 4.60 |
Total value |
4 u |
3 u + 13.80 |
Cost of the souvenir if shared by 4 children
= 4 x 1 u
= 4 u
Cost of the souvenir if shared by 3 children
= 3 x (1 u + 4.60)
= 3 u + 13.80
The total amount that the 4 children shared is the same as the total amount that the 3 children shared.
4 u = 3 u + 13.80
4 u - 3 u = 13.80
1 u = 13.80
Cost of the souvenir
= 4 u
= 4 x 13.80
= $55.20
Answer(s): $55.20