The ratio of the number of apples to the number of guavas that a fruit seller had was 2 : 9. After he sold one fifth of the guavas, there were a total of 460 apples and guavas left at the supermarket.
- How many apples were there at the supermarket?
- If he sold the remaining guavas in bags of 6 at $3.70 per bag, how much would he receive for them?
(a)
|
Apples |
Guavas |
Total |
Before |
2x5 = 10 u
|
9x5 = 45 u |
|
Change |
|
- 9 u |
|
After |
10 u |
36 u |
460 |
The total number of guavas at first is the repeated identity.
LCM of 9 and 5 = 45
10 u + 36 u = 46 u
46 u = 460
1 u = 460 ÷ 46 = 10
Number of apples in the stall
= 10 u
= 10 x 10
= 100
(b)
Number of guavas left
= 36 u
= 36 x 10
= 360
Number of bags
= 360 ÷ 6
= 60
Amount that he would receive
= 60 x 3.70
= $222
Answer(s): (a) 100; (b) $222