The ratio of the number of pomegranates to the number of apricots that a fruit seller had was 3 : 8. After he sold one third of the apricots, there were a total of 375 pomegranates and apricots left at the mart.
- How many pomegranates were there at the mart?
- If he sold the remaining apricots in bags of 6 at $3.20 per bag, how much would he receive for them?
(a)
|
Pomegranates |
Apricots |
Total |
Before |
3x3 = 9 u
|
8x3 = 24 u |
|
Change |
|
- 8 u |
|
After |
9 u |
16 u |
375 |
The total number of apricots at first is the repeated identity.
LCM of 8 and 3 = 24
9 u + 16 u = 25 u
25 u = 375
1 u = 375 ÷ 25 = 15
Number of pomegranates in the stall
= 9 u
= 9 x 15
= 135
(b)
Number of apricots left
= 16 u
= 16 x 15
= 240
Number of bags
= 240 ÷ 6
= 40
Amount that he would receive
= 40 x 3.20
= $128
Answer(s): (a) 135; (b) $128