PSLE Seven 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 8 instead of 7. Each student paid $1.90 less than his share. What should be the cost of the present?
|
8 students |
7 students |
Number |
8 |
7 |
Value |
1 u |
1 u + 1.90 |
Total value |
8 u |
7 u + 13.30 |
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 + 1.90)
= 7 u + 13.30
The total amount that the 8 students shared is the same as the total amount that the 7 students shared.
8 u = 7 u + 13.30
8 u - 7 u = 13.30
1 u = 13.30
Cost of the present
= 8 u
= 8 x 13.30
= $106.40
Answer(s): $106.40