Jenson had to collect some fruits from two shops and deliver some fruits to another shop. He collected from Shop A and the ratio of mangoes to apples was 3 : 8. When he reached Shop B, he unloaded
910 of the apples and some mangoes from his vehicle. The ratio of mangoes to apples became 3 : 4. At Shop C, 37 mangoes and 25 apples were collected and the number of mangoes to apples became the same.
- How many fruits were there on his vehicle after visiting Shop C?
- How many mangoes were delivered to Shop B?
|
Location |
Mangoes |
Apples |
Comparing mangoes and apples at first |
Shop A |
3x5 = 15 u |
8x5 = 40 u |
Before 1 |
Shop A |
15 u |
10x4 = 40 u |
Change 1 |
Shop B |
- ? |
- 9x4 = - 36 u |
After 1 |
Shop C |
3 u |
1x4 = 4 u |
Before 2 |
Shop C |
3x1 = 3 u |
4x1 = 4 u |
Change 2 |
Shop C |
+ 37 |
+ 25 |
After 2 |
Shop C |
3 u + 37 |
4 u + 25 |
(a)
The number of apples after unloading at Shop B is repeated. Make the number of apples left after unloading at Shop B the same. LCM of 4 and 1 is 4.
The number of apples collected at Shop A is repeated. Make the number of apples collected at Shop A the same by multiplying 8 by 5.
The number of mangoes and apples in the end is the same.
4 u + 25 = 3 u + 37
4 u - 3 u = 37 - 25
1 u = 12
Number of mangoes on his vehicle after collecting from Shop C
= 3 u + 37
= 3 x 12 + 37
= 36 + 37
= 73
Number of fruits on his vehicle after collecting from Shop C
= 2 x 73
= 146
(b)
Number of mangoes delivered to Shop B
= 15 u - 3 u
= 12 u
= 12 x 12
= 144
Answer(s): (a) 146; (b) 144