The ratio of the number of avocados to the number of peaches that a fruit seller had was 4 : 9. After he sold one fifth of the peaches, there were a total of 560 avocados and peaches left at the mart.
- How many avocados were there at the mart?
- If he sold the remaining peaches in bags of 6 at $4.20 per bag, how much would he receive for them?
(a)
|
Avocados |
Peaches |
Total |
Before |
4x5 = 20 u
|
9x5 = 45 u |
|
Change |
|
- 9 u |
|
After |
20 u |
36 u |
560 |
The total number of peaches at first is the repeated identity.
LCM of 9 and 5 = 45
20 u + 36 u = 56 u
56 u = 560
1 u = 560 ÷ 56 = 10
Number of avocados in the stall
= 20 u
= 20 x 10
= 200
(b)
Number of peaches left
= 36 u
= 36 x 10
= 360
Number of bags
= 360 ÷ 6
= 60
Amount that he would receive
= 60 x 4.20
= $252
Answer(s): (a) 200; (b) $252