The ratio of the number of apricots to the number of pears that a fruit seller had was 3 : 8. After he sold one quarter of the pears, there were a total of 360 apricots and pears left at the mart.
- How many apricots were there at the mart?
- If he sold the remaining pears in bags of 6 at $2.60 per bag, how much would he receive for them?
(a)
|
Apricots |
Pears |
Total |
Before |
3x4 = 12 u
|
8x4 = 32 u |
|
Change |
|
- 8 u |
|
After |
12 u |
24 u |
360 |
The total number of pears at first is the repeated identity.
LCM of 8 and 4 = 32
12 u + 24 u = 36 u
36 u = 360
1 u = 360 ÷ 36 = 10
Number of apricots in the stall
= 12 u
= 12 x 10
= 120
(b)
Number of pears left
= 24 u
= 24 x 10
= 240
Number of bags
= 240 ÷ 6
= 40
Amount that he would receive
= 40 x 2.60
= $104
Answer(s): (a) 120; (b) $104