Tom had three bags of corn starch, G, H and J and the mass of each bag of corn starch was in the ratio 1 : 3 : 1. Tom decided to transfer 30% of corn starch from Bag G into Bag H and 70% of corn starch from Bag J into Bag H. Given that the mass of Bag H was 20 kg in the end, how many kilograms of corn starch were transferred into Bag H?
|
G |
H |
J |
Before |
1 u |
3 u |
1 u |
Change 1 |
- 0.3 u |
+ 0.3 u |
|
Change 2 |
|
+ 0.7 u |
- 0.7 u |
After |
0.7 u |
4 u |
0.3 u |
Mass of corn starch transferred from Bag G into Bag H
= 30% x 1 u
=
30100 x 1 u
= 0.7 u
Mass of corn starch transferred from Bag J into Bag H
= 70% x 1 u
=
70100 x 1 u
= 0.7 u
Mass of corn starch in Bag H in the end
= 3 u + 0.3 u + 0.7 u
= 4 u
4 u = 20
1 u = 20 ÷ 4 = 5
Mass of corn starch transferred into Bag H
= 0.3 u + 0.7 u
= 1 u
= 1 x 5
= 5 kg
Answer(s): 5 kg