The ratio of the number of apricots to the number of plums that a fruit seller had was 2 : 5. After he sold one quarter of the plums, there were a total of 184 apricots and plums left at the shop.
- How many apricots were there at the shop?
- If he sold the remaining plums in bags of 6 at $8.10 per bag, how much would he receive for them?
(a)
|
Apricots |
Plums |
Total |
Before |
2x4 = 8 u
|
5x4 = 20 u |
|
Change |
|
- 5 u |
|
After |
8 u |
15 u |
184 |
The total number of plums at first is the repeated identity.
LCM of 5 and 4 = 20
8 u + 15 u = 23 u
23 u = 184
1 u = 184 ÷ 23 = 8
Number of apricots in the stall
= 8 u
= 8 x 8
= 64
(b)
Number of plums left
= 15 u
= 15 x 8
= 120
Number of bags
= 120 ÷ 6
= 20
Amount that he would receive
= 20 x 8.10
= $162
Answer(s): (a) 64; (b) $162