The ratio of the number of dragon fruits to the number of peaches that a fruit seller had was 3 : 10. After he sold one half of the peaches, there were a total of 240 dragon fruits and peaches left at the stall.
- How many dragon fruits were there at the stall?
- If he sold the remaining peaches in bags of 6 at $3.40 per bag, how much would he receive for them?
(a)
|
Dragon Fruits |
Peaches |
Total |
Before |
3x2 = 6 u
|
10x2 = 20 u |
|
Change |
|
- 10 u |
|
After |
6 u |
10 u |
240 |
The total number of peaches at first is the repeated identity.
LCM of 10 and 2 = 20
6 u + 10 u = 16 u
16 u = 240
1 u = 240 ÷ 16 = 15
Number of dragon fruits in the stall
= 6 u
= 6 x 15
= 90
(b)
Number of peaches left
= 10 u
= 10 x 15
= 150
Number of bags
= 150 ÷ 6
= 25
Amount that he would receive
= 25 x 3.40
= $85
Answer(s): (a) 90; (b) $85