The ratio of the number of avocados to the number of grapefruits that a fruit seller had was 3 : 10. After he sold one fifth of the grapefruits, there were a total of 660 avocados and grapefruits left at the stall.
- How many avocados were there at the stall?
- If he sold the remaining grapefruits in bags of 8 at $5.50 per bag, how much would he receive for them?
(a)
|
Avocados |
Grapefruits |
Total |
Before |
3x5 = 15 u
|
10x5 = 50 u |
|
Change |
|
- 10 u |
|
After |
15 u |
40 u |
660 |
The total number of grapefruits at first is the repeated identity.
LCM of 10 and 5 = 50
15 u + 40 u = 55 u
55 u = 660
1 u = 660 ÷ 55 = 12
Number of avocados in the stall
= 15 u
= 15 x 12
= 180
(b)
Number of grapefruits left
= 40 u
= 40 x 12
= 480
Number of bags
= 480 ÷ 8
= 60
Amount that he would receive
= 60 x 5.50
= $330
Answer(s): (a) 180; (b) $330