The ratio of the number of apples to the number of pomegranates that a fruit seller had was 3 : 10. After he sold one quarter of the pomegranates, there were a total of 504 apples and pomegranates left at the supermarket.
- How many apples were there at the supermarket?
- If he sold the remaining pomegranates in bags of 6 at $3.80 per bag, how much would he receive for them?
(a)
|
Apples |
Pomegranates |
Total |
Before |
3x4 = 12 u
|
10x4 = 40 u |
|
Change |
|
- 10 u |
|
After |
12 u |
30 u |
504 |
The total number of pomegranates at first is the repeated identity.
LCM of 10 and 4 = 40
12 u + 30 u = 42 u
42 u = 504
1 u = 504 ÷ 42 = 12
Number of apples in the stall
= 12 u
= 12 x 12
= 144
(b)
Number of pomegranates left
= 30 u
= 30 x 12
= 360
Number of bags
= 360 ÷ 6
= 60
Amount that he would receive
= 60 x 3.80
= $228
Answer(s): (a) 144; (b) $228