PSLE Three students shared the cost of a souvenir equally. When calculating the amount for each share, one of the students made a mistake by dividing the cost of the souvenir by 4 instead of 3. Each student paid $4.90 less than his share. What should be the cost of the souvenir?
|
4 students |
3 students |
Number |
4 |
3 |
Value |
1 u |
1 u + 4.90 |
Total value |
4 u |
3 u + 14.70 |
Cost of the souvenir if shared by 4 students
= 4 x 1 u
= 4 u
Cost of the souvenir if shared by 3 students
= 3 x (1 u + 4.90)
= 3 u + 14.70
The total amount that the 4 students shared is the same as the total amount that the 3 students shared.
4 u = 3 u + 14.70
4 u - 3 u = 14.70
1 u = 14.70
Cost of the souvenir
= 4 u
= 4 x 14.70
= $58.80
Answer(s): $58.80