Three types of chicken powder, U, V and W come in containers of 120 g, 200 g and 280 g respectively. Containers of U, V and W are mixed together in the ratio 1 : 3 : 4 to obtain 22.08 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 |
1 u |
3 u |
4 u |
Value |
120 |
200 |
280 |
Total value |
120 u |
600 u |
1120 u |
(a)
Total mass of chicken powder
= 120 u + 600 u + 1120 u
= 1840 u
1840 u = 22080
1 u = 22080 ÷ 1840 = 12
Total number of containers of U and V used
= 1 u + 3 u
= 4 u
= 4 x 12
= 48
(b)
Combined weight of all the chicken powder in containers V and containers W
= 600 u + 1120 u
= 1720 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
= 1720 u - 120 u
= 1600 u
= 1600 x 12
= 19200 g
= 19.2 kg
Answer(s): (a) 48; (b) 19.2 kg