The ratio of the number of oranges to the number of avocados that a fruit seller had was 5 : 11. After he sold one fifth of the avocados, there were a total of 207 oranges and avocados left at the supermarket.
- How many oranges were there at the supermarket?
- If he sold the remaining avocados in bags of 6 at $8.50 per bag, how much would he receive for them?
(a)
|
Oranges |
Avocados |
Total |
Before |
5x5 = 25 u
|
11x5 = 55 u |
|
Change |
|
- 11 u |
|
After |
25 u |
44 u |
207 |
The total number of avocados at first is the repeated identity.
LCM of 11 and 5 = 55
25 u + 44 u = 69 u
69 u = 207
1 u = 207 ÷ 69 = 3
Number of oranges in the stall
= 25 u
= 25 x 3
= 75
(b)
Number of avocados left
= 44 u
= 44 x 3
= 132
Number of bags
= 132 ÷ 6
= 22
Amount that he would receive
= 22 x 8.50
= $187
Answer(s): (a) 75; (b) $187