PSLE Seven pupils shared the cost of a present equally. When calculating the amount for each share, one of the pupils made a mistake by dividing the cost of the present by 6 instead of 7. Each pupil paid $2.70 more than his share. What should be the cost of the present?
|
7 pupils |
6 pupils |
Number |
7 |
6 |
Value |
1 u |
1 u + 2.70 |
Total value |
7 u |
6 u + 16.20 |
Cost of the present if shared by 7 pupils
= 7 x 1 u
= 7 u
Cost of the present if shared by 6 pupils
= 6 x (1 u + 2.70)
= 6 u + 16.20
The total amount that the 7 pupils shared is the same as the total amount that the 6 pupils shared.
7 u = 6 u + 16.20
7 u - 6 u = 16.20
1 u = 16.20
Cost of the present
= 7 u
= 7 x 16.20
= $113.40
Answer(s): $113.40