The ratio of the number of plums to the number of guavas that a fruit seller had was 3 : 8. After he sold one half of the guavas, there were a total of 210 plums and guavas left at the supermarket.
- How many plums were there at the supermarket?
- If he sold the remaining guavas in bags of 4 at $5.60 per bag, how much would he receive for them?
(a)
|
Plums |
Guavas |
Total |
Before |
3x2 = 6 u
|
8x2 = 16 u |
|
Change |
|
- 8 u |
|
After |
6 u |
8 u |
210 |
The total number of guavas at first is the repeated identity.
LCM of 8 and 2 = 16
6 u + 8 u = 14 u
14 u = 210
1 u = 210 ÷ 14 = 15
Number of plums in the stall
= 6 u
= 6 x 15
= 90
(b)
Number of guavas left
= 8 u
= 8 x 15
= 120
Number of bags
= 120 ÷ 4
= 30
Amount that he would receive
= 30 x 5.60
= $168
Answer(s): (a) 90; (b) $168