Cole had to collect some fruits from two marts and deliver some fruits to another mart. He collected from Mart E and the ratio of mangosteens to passion fruits was 1 : 8. When he reached Mart F, he unloaded
1112 of the passion fruits and some mangosteens from his lorry. The ratio of mangosteens to passion fruits became 3 : 4. At Mart G, 59 mangosteens and 39 passion fruits were collected and the number of mangosteens to passion fruits became the same.
- How many fruits were there on his lorry after visiting Mart G?
- How many mangosteens were delivered to Mart F?
|
Location |
Mangosteens |
Passion Fruits |
Comparing mangosteens and passion fruits at first |
Mart E |
1x6 = 6 u |
8x6 = 48 u |
Before 1 |
Mart E |
6 u |
12x4 = 48 u |
Change 1 |
Mart F |
- ? |
- 11x4 = - 44 u |
After 1 |
Mart G |
3 u |
1x4 = 4 u |
Before 2 |
Mart G |
3x1 = 3 u |
4x1 = 4 u |
Change 2 |
Mart G |
+ 59 |
+ 39 |
After 2 |
Mart G |
3 u + 59 |
4 u + 39 |
(a)
The number of passion fruits after unloading at Mart F is repeated. Make the number of passion fruits left after unloading at Mart F the same. LCM of 4 and 1 is 4.
The number of passion fruits collected at Mart E is repeated. Make the number of passion fruits collected at Mart E the same by multiplying 8 by 6.
The number of mangosteens and passion fruits in the end is the same.
4 u + 39 = 3 u + 59
4 u - 3 u = 59 - 39
1 u = 20
Number of mangosteens on his lorry after collecting from Mart G
= 3 u + 59
= 3 x 20 + 59
= 60 + 59
= 119
Number of fruits on his lorry after collecting from Mart G
= 2 x 119
= 238
(b)
Number of mangosteens delivered to Mart F
= 6 u - 3 u
= 3 u
= 3 x 20
= 60
Answer(s): (a) 238; (b) 60