The ratio of the number of mandarin oranges to the number of apples that a fruit seller had was 2 : 5. After he sold one fifth of the apples, there were a total of 330 mandarin oranges and apples left at the market.
- How many mandarin oranges were there at the market?
- If he sold the remaining apples in bags of 4 at $4.60 per bag, how much would he receive for them?
(a)
|
Mandarin Oranges |
Apples |
Total |
Before |
2x5 = 10 u
|
5x5 = 25 u |
|
Change |
|
- 5 u |
|
After |
10 u |
20 u |
330 |
The total number of apples at first is the repeated identity.
LCM of 5 and 5 = 25
10 u + 20 u = 30 u
30 u = 330
1 u = 330 ÷ 30 = 11
Number of mandarin oranges in the stall
= 10 u
= 10 x 11
= 110
(b)
Number of apples left
= 20 u
= 20 x 11
= 220
Number of bags
= 220 ÷ 4
= 55
Amount that he would receive
= 55 x 4.60
= $253
Answer(s): (a) 110; (b) $253