The ratio of the number of pomegranates to the number of oranges that a fruit seller had was 2 : 5. After he sold one half of the oranges, there were a total of 36 pomegranates and oranges left at the supermarket.
- How many pomegranates were there at the supermarket?
- If he sold the remaining oranges in bags of 4 at $6.60 per bag, how much would he receive for them?
(a)
|
Pomegranates |
Oranges |
Total |
Before |
2x2 = 4 u
|
5x2 = 10 u |
|
Change |
|
- 5 u |
|
After |
4 u |
5 u |
36 |
The total number of oranges at first is the repeated identity.
LCM of 5 and 2 = 10
4 u + 5 u = 9 u
9 u = 36
1 u = 36 ÷ 9 = 4
Number of pomegranates in the stall
= 4 u
= 4 x 4
= 16
(b)
Number of oranges left
= 5 u
= 5 x 4
= 20
Number of bags
= 20 ÷ 4
= 5
Amount that he would receive
= 5 x 6.60
= $33
Answer(s): (a) 16; (b) $33