PSLE Seven pupils shared the cost of a gift equally. When calculating the amount for each share, one of the pupils made a mistake by dividing the cost of the gift by 8 instead of 7. Each pupil paid $2.90 less than his share. What should be the cost of the gift?
|
8 pupils |
7 pupils |
Number |
8 |
7 |
Value |
1 u |
1 u + 2.90 |
Total value |
8 u |
7 u + 20.30 |
Cost of the gift if shared by 8 pupils
= 8 x 1 u
= 8 u
Cost of the gift if shared by 7 pupils
= 7 x (1 u + 2.90)
= 7 u + 20.30
The total amount that the 8 pupils shared is the same as the total amount that the 7 pupils shared.
8 u = 7 u + 20.30
8 u - 7 u = 20.30
1 u = 20.30
Cost of the gift
= 8 u
= 8 x 20.30
= $162.40
Answer(s): $162.40