PSLE Eight students shared the cost of a present equally. When calculating the amount for each share, one of the students made a mistake by dividing the cost of the present by 7 instead of 8. Each student paid $1.10 more than his share. What should be the cost of the present?
|
8 students |
7 students |
Number |
8 |
7 |
Value |
1 u |
1 u + 1.10 |
Total value |
8 u |
7 u + 7.70 |
Cost of the present if shared by 8 students
= 8 x 1 u
= 8 u
Cost of the present if shared by 7 students
= 7 x (1 u + 1.10)
= 7 u + 7.70
The total amount that the 8 students shared is the same as the total amount that the 7 students shared.
8 u = 7 u + 7.70
8 u - 7 u = 7.70
1 u = 7.70
Cost of the present
= 8 u
= 8 x 7.70
= $61.60
Answer(s): $61.60