PSLE Eight pupils shared the cost of a souvenir equally. When calculating the amount for each share, one of the pupils made a mistake by dividing the cost of the souvenir by 7 instead of 8. Each pupil paid $2.30 more than his share. What should be the cost of the souvenir?
|
8 pupils |
7 pupils |
Number |
8 |
7 |
Value |
1 u |
1 u + 2.30 |
Total value |
8 u |
7 u + 16.10 |
Cost of the souvenir if shared by 8 pupils
= 8 x 1 u
= 8 u
Cost of the souvenir if shared by 7 pupils
= 7 x (1 u + 2.30)
= 7 u + 16.10
The total amount that the 8 pupils shared is the same as the total amount that the 7 pupils shared.
8 u = 7 u + 16.10
8 u - 7 u = 16.10
1 u = 16.10
Cost of the souvenir
= 8 u
= 8 x 16.10
= $128.80
Answer(s): $128.80