The ratio of the number of apples to the number of dragon fruits that a fruit seller had was 3 : 10. After he sold one quarter of the dragon fruits, there were a total of 84 apples and dragon fruits left at the supermarket.
- How many apples were there at the supermarket?
- If he sold the remaining dragon fruits in bags of 6 at $6.60 per bag, how much would he receive for them?
(a)
|
Apples |
Dragon Fruits |
Total |
Before |
3x4 = 12 u
|
10x4 = 40 u |
|
Change |
|
- 10 u |
|
After |
12 u |
30 u |
84 |
The total number of dragon fruits at first is the repeated identity.
LCM of 10 and 4 = 40
12 u + 30 u = 42 u
42 u = 84
1 u = 84 ÷ 42 = 2
Number of apples in the stall
= 12 u
= 12 x 2
= 24
(b)
Number of dragon fruits left
= 30 u
= 30 x 2
= 60
Number of bags
= 60 ÷ 6
= 10
Amount that he would receive
= 10 x 6.60
= $66
Answer(s): (a) 24; (b) $66