Three types of chicken powder, U, V and W come in containers of 150 g, 200 g and 350 g respectively. Containers of U, V and W are mixed together in the ratio 2 : 5 : 8 to obtain 45.1 kg of an assortment of chicken powder.
- How many containers of U and V are used altogether?
- Find the difference between the combined weight of all the chicken powder in containers V and containers W as compared to the chicken powder in containers U. Express the weight in kilograms.
|
U |
V |
W |
Number |
2 u |
5 u |
8 u |
Value |
150 |
200 |
350 |
Total value |
300 u |
1000 u |
2800 u |
(a)
Total mass of chicken powder
= 300 u + 1000 u + 2800 u
= 4100 u
4100 u = 45100
1 u = 45100 ÷ 4100 = 11
Total number of containers of U and V used
= 2 u + 5 u
= 7 u
= 7 x 11
= 77
(b)
Combined weight of all the chicken powder in containers V and containers W
= 1000 u + 2800 u
= 3800 u
Difference between the combined weight of all the chicken powder in containers V and containers W as compared to the chicken powder in containers U
= 3800 u - 300 u
= 3500 u
= 3500 x 11
= 38500 g
= 38.5 kg
Answer(s): (a) 77; (b) 38.5 kg