The ratio of the number of grapefruits to the number of pears that a fruit seller had was 2 : 5. After he sold one fifth of the pears, there were a total of 390 grapefruits and pears left at the mart.
- How many grapefruits were there at the mart?
- If he sold the remaining pears in bags of 4 at $7.60 per bag, how much would he receive for them?
(a)
|
Grapefruits |
Pears |
Total |
Before |
2x5 = 10 u
|
5x5 = 25 u |
|
Change |
|
- 5 u |
|
After |
10 u |
20 u |
390 |
The total number of pears at first is the repeated identity.
LCM of 5 and 5 = 25
10 u + 20 u = 30 u
30 u = 390
1 u = 390 ÷ 30 = 13
Number of grapefruits in the stall
= 10 u
= 10 x 13
= 130
(b)
Number of pears left
= 20 u
= 20 x 13
= 260
Number of bags
= 260 ÷ 4
= 65
Amount that he would receive
= 65 x 7.60
= $494
Answer(s): (a) 130; (b) $494