Three types of chicken powder, H, J and K come in containers of 120 g, 240 g and 300 g respectively. Containers of H, J and K are mixed together in the ratio 1 : 2 : 5 to obtain 25.2 kg of an assortment of chicken powder.
- How many containers of H and J are used altogether?
- Find the difference between the combined weight of all the chicken powder in containers J and containers K as compared to the chicken powder in containers H. Express the weight in kilograms.
|
H |
J |
K |
Number |
1 u |
2 u |
5 u |
Value |
120 |
240 |
300 |
Total value |
120 u |
480 u |
1500 u |
(a)
Total mass of chicken powder
= 120 u + 480 u + 1500 u
= 2100 u
2100 u = 25200
1 u = 25200 ÷ 2100 = 12
Total number of containers of H and J used
= 1 u + 2 u
= 3 u
= 3 x 12
= 36
(b)
Combined weight of all the chicken powder in containers J and containers K
= 480 u + 1500 u
= 1980 u
Difference between the combined weight of all the chicken powder in containers J and containers K as compared to the chicken powder in containers H
= 1980 u - 120 u
= 1860 u
= 1860 x 12
= 22320 g
= 22.32 kg
Answer(s): (a) 36; (b) 22.32 kg