The ratio of the number of guavas to the number of limes that a fruit seller had was 3 : 10. After he sold one fifth of the limes, there were a total of 165 guavas and limes left at the supermarket.
- How many guavas were there at the supermarket?
- If he sold the remaining limes in bags of 6 at $4.60 per bag, how much would he receive for them?
(a)
|
Guavas |
Limes |
Total |
Before |
3x5 = 15 u
|
10x5 = 50 u |
|
Change |
|
- 10 u |
|
After |
15 u |
40 u |
165 |
The total number of limes at first is the repeated identity.
LCM of 10 and 5 = 50
15 u + 40 u = 55 u
55 u = 165
1 u = 165 ÷ 55 = 3
Number of guavas in the stall
= 15 u
= 15 x 3
= 45
(b)
Number of limes left
= 40 u
= 40 x 3
= 120
Number of bags
= 120 ÷ 6
= 20
Amount that he would receive
= 20 x 4.60
= $92
Answer(s): (a) 45; (b) $92