Lee had three bags of potato starch, J, K and L and the mass of each bag of potato starch was in the ratio 4 : 3 : 1. Lee decided to transfer 40% of potato starch from Bag J into Bag K and 70% of potato starch from Bag L into Bag K. Given that the mass of Bag K was 26.5 kg in the end, how many kilograms of potato starch were transferred into Bag K?
|
J |
K |
L |
Before |
4 u |
3 u |
1 u |
Change 1 |
- 1.6 u |
+ 1.6 u |
|
Change 2 |
|
+ 0.7 u |
- 0.7 u |
After |
2.4 u |
5.3 u |
0.3 u |
Mass of potato starch transferred from Bag J into Bag K
= 40% x 4 u
=
40100 x 4 u
= 2.4 u
Mass of potato starch transferred from Bag L into Bag K
= 70% x 1 u
=
70100 x 1 u
= 0.7 u
Mass of potato starch in Bag K in the end
= 3 u + 1.6 u + 0.7 u
= 5.3 u
5.3 u = 26.5
1 u = 26.5 ÷ 5.3 = 5
Mass of potato starch transferred into Bag K
= 1.6 u + 0.7 u
= 2.3 u
= 2.3 x 5
= 11.5 kg
Answer(s): 11.5 kg