The ratio of the number of peaches to the number of guavas that a fruit seller had was 3 : 10. After he sold one third of the guavas, there were a total of 435 peaches and guavas left at the stall.
- How many peaches were there at the stall?
- If he sold the remaining guavas in bags of 6 at $8.10 per bag, how much would he receive for them?
(a)
|
Peaches |
Guavas |
Total |
Before |
3x3 = 9 u
|
10x3 = 30 u |
|
Change |
|
- 10 u |
|
After |
9 u |
20 u |
435 |
The total number of guavas at first is the repeated identity.
LCM of 10 and 3 = 30
9 u + 20 u = 29 u
29 u = 435
1 u = 435 ÷ 29 = 15
Number of peaches in the stall
= 9 u
= 9 x 15
= 135
(b)
Number of guavas left
= 20 u
= 20 x 15
= 300
Number of bags
= 300 ÷ 6
= 50
Amount that he would receive
= 50 x 8.10
= $405
Answer(s): (a) 135; (b) $405