There were some pears and mangoes in Container C and Container D. In Container C, the ratio of the pears to the number of mangoes was 7 : 1. In Container D, the ratio of the number of pears to the number of mangoes was 5 : 3. There were 3 times as many fruits in Container C as in Container D. After another 28 mangoes were put into Container D, the ratio of the number of pears to the number of mangoes in Container D became 1 : 2. How many fruits were there in Container C?
Container C |
Container D |
3x8 = 24 u |
1x8 = 8 u |
Pears |
Mangoes |
Pears |
Mangoes |
7x3 |
1x3 |
5 |
3 |
21 u |
3 u |
5 u |
3 u |
The total number of fruits in Container C is repeated. Make the total number of fruits in Container C the same. LCM of 3 and 8 is 24.
The total number of fruits in Container D at first is repeated. Make the total number of fruits in Container D the same. LCM of 1 and 8 is 8.
|
Container C |
Container D |
|
Pears |
Mangoes |
Pears |
Mangoes |
Before |
21 u |
3 u |
5 u |
3 u |
Change |
|
|
|
+ 28 |
After
|
21 u
|
3 u
|
1x5 = 5 u |
2x5 = 10 u |
Number of pears in Container D remains unchanged. Make the number of pears in Container D the same. LCM of 5 and 1 is 5.
Number of mangoes put into Container D
= 10 u - 3 u
= 7 u
7 u = 28
1 u = 28 ÷ 7 = 4
Number of fruits in Container C
= 21 u + 3 u
= 24 u
= 24 x 4
= 96
Answer(s): 96