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 $3.80 more than his share. What should be the cost of the present?
|
8 students |
7 students |
Number |
8 |
7 |
Value |
1 u |
1 u + 3.80 |
Total value |
8 u |
7 u + 26.60 |
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 + 3.80)
= 7 u + 26.60
The total amount that the 8 students shared is the same as the total amount that the 7 students shared.
8 u = 7 u + 26.60
8 u - 7 u = 26.60
1 u = 26.60
Cost of the present
= 8 u
= 8 x 26.60
= $212.80
Answer(s): $212.80