Three types of chicken powder, H, J and K come in containers of 80 g, 160 g and 280 g respectively. Containers of H, J and K are mixed together in the ratio 3 : 6 : 8 to obtain 17.2 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 |
3 u |
6 u |
8 u |
Value |
80 |
160 |
280 |
Total value |
240 u |
960 u |
2240 u |
(a)
Total mass of chicken powder
= 240 u + 960 u + 2240 u
= 3440 u
3440 u = 17200
1 u = 17200 ÷ 3440 = 5
Total number of containers of H and J used
= 3 u + 6 u
= 9 u
= 9 x 5
= 45
(b)
Combined weight of all the chicken powder in containers J and containers K
= 960 u + 2240 u
= 3200 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
= 3200 u - 240 u
= 2960 u
= 2960 x 5
= 14800 g
= 14.8 kg
Answer(s): (a) 45; (b) 14.8 kg