The ratio of the number of pears to the number of peaches that a fruit seller had was 2 : 5. After he sold one third of the peaches, there were a total of 224 pears and peaches left at the mart.
- How many pears were there at the mart?
- If he sold the remaining peaches in bags of 7 at $6.50 per bag, how much would he receive for them?
(a)
|
Pears |
Peaches |
Total |
Before |
2x3 = 6 u
|
5x3 = 15 u |
|
Change |
|
- 5 u |
|
After |
6 u |
10 u |
224 |
The total number of peaches at first is the repeated identity.
LCM of 5 and 3 = 15
6 u + 10 u = 16 u
16 u = 224
1 u = 224 ÷ 16 = 14
Number of pears in the stall
= 6 u
= 6 x 14
= 84
(b)
Number of peaches left
= 10 u
= 10 x 14
= 140
Number of bags
= 140 ÷ 7
= 20
Amount that he would receive
= 20 x 6.50
= $130
Answer(s): (a) 84; (b) $130