Three types of chicken powder, V, W and X come in containers of 160 g, 280 g and 320 g respectively. Containers of V, W and X are mixed together in the ratio 3 : 4 : 5 to obtain 22.4 kg of an assortment of chicken powder.
- How many containers of V and W are used altogether?
- Find the difference between the combined weight of all the chicken powder in containers W and containers X as compared to the chicken powder in containers V. Express the weight in kilograms.
|
V |
W |
X |
Number |
3 u |
4 u |
5 u |
Value |
160 |
280 |
320 |
Total value |
480 u |
1120 u |
1600 u |
(a)
Total mass of chicken powder
= 480 u + 1120 u + 1600 u
= 3200 u
3200 u = 22400
1 u = 22400 ÷ 3200 = 7
Total number of containers of V and W used
= 3 u + 4 u
= 7 u
= 7 x 7
= 49
(b)
Combined weight of all the chicken powder in containers W and containers X
= 1120 u + 1600 u
= 2720 u
Difference between the combined weight of all the chicken powder in containers W and containers X as compared to the chicken powder in containers V
= 2720 u - 480 u
= 2240 u
= 2240 x 7
= 15680 g
= 15.68 kg
Answer(s): (a) 49; (b) 15.68 kg