The ratio of the number of apricots to the number of avocados that a fruit seller had was 3 : 10. After he sold one fifth of the avocados, there were a total of 330 apricots and avocados left at the supermarket.
- How many apricots were there at the supermarket?
- If he sold the remaining avocados in bags of 4 at $4.90 per bag, how much would he receive for them?
(a)
|
Apricots |
Avocados |
Total |
Before |
3x5 = 15 u
|
10x5 = 50 u |
|
Change |
|
- 10 u |
|
After |
15 u |
40 u |
330 |
The total number of avocados at first is the repeated identity.
LCM of 10 and 5 = 50
15 u + 40 u = 55 u
55 u = 330
1 u = 330 ÷ 55 = 6
Number of apricots in the stall
= 15 u
= 15 x 6
= 90
(b)
Number of avocados left
= 40 u
= 40 x 6
= 240
Number of bags
= 240 ÷ 4
= 60
Amount that he would receive
= 60 x 4.90
= $294
Answer(s): (a) 90; (b) $294