Three types of chicken powder, J, K and L come in containers of 240 g, 420 g and 480 g respectively. Containers of J, K and L are mixed together in the ratio 1 : 4 : 5 to obtain 43.2 kg of an assortment of chicken powder.
- How many containers of J and K are used altogether?
- Find the difference between the combined weight of all the chicken powder in containers K and containers L as compared to the chicken powder in containers J. Express the weight in kilograms.
|
J |
K |
L |
Number |
1 u |
4 u |
5 u |
Value |
240 |
420 |
480 |
Total value |
240 u |
1680 u |
2400 u |
(a)
Total mass of chicken powder
= 240 u + 1680 u + 2400 u
= 4320 u
4320 u = 43200
1 u = 43200 ÷ 4320 = 10
Total number of containers of J and K used
= 1 u + 4 u
= 5 u
= 5 x 10
= 50
(b)
Combined weight of all the chicken powder in containers K and containers L
= 1680 u + 2400 u
= 4080 u
Difference between the combined weight of all the chicken powder in containers K and containers L as compared to the chicken powder in containers J
= 4080 u - 240 u
= 3840 u
= 3840 x 10
= 38400 g
= 38.4 kg
Answer(s): (a) 50; (b) 38.4 kg