The ratio of the number of oranges to the number of dragon fruits that a fruit seller had was 2 : 5. After he sold one third of the dragon fruits, there were a total of 48 oranges and dragon fruits left at the market.
- How many oranges were there at the market?
- If he sold the remaining dragon fruits in bags of 5 at $4.50 per bag, how much would he receive for them?
(a)
|
Oranges |
Dragon Fruits |
Total |
Before |
2x3 = 6 u
|
5x3 = 15 u |
|
Change |
|
- 5 u |
|
After |
6 u |
10 u |
48 |
The total number of dragon fruits at first is the repeated identity.
LCM of 5 and 3 = 15
6 u + 10 u = 16 u
16 u = 48
1 u = 48 ÷ 16 = 3
Number of oranges in the stall
= 6 u
= 6 x 3
= 18
(b)
Number of dragon fruits left
= 10 u
= 10 x 3
= 30
Number of bags
= 30 ÷ 5
= 6
Amount that he would receive
= 6 x 4.50
= $27
Answer(s): (a) 18; (b) $27