The ratio of the number of apricots to the number of plums that a fruit seller had was 1 : 3. After he sold one third of the plums, there were a total of 45 apricots and plums left at the mart.
- How many apricots were there at the mart?
- If he sold the remaining plums in bags of 6 at $2.80 per bag, how much would he receive for them?
(a)
|
Apricots |
Plums |
Total |
Before |
1x3 = 3 u
|
3x3 = 9 u |
|
Change |
|
- 3 u |
|
After |
3 u |
6 u |
45 |
The total number of plums at first is the repeated identity.
LCM of 3 and 3 = 9
3 u + 6 u = 9 u
9 u = 45
1 u = 45 ÷ 9 = 5
Number of apricots in the stall
= 3 u
= 3 x 5
= 15
(b)
Number of plums left
= 6 u
= 6 x 5
= 30
Number of bags
= 30 ÷ 6
= 5
Amount that he would receive
= 5 x 2.80
= $14
Answer(s): (a) 15; (b) $14