Three types of chicken powder, Q, R and S come in containers of 240 g, 420 g and 600 g respectively. Containers of Q, R and S are mixed together in the ratio 1 : 3 : 6 to obtain 61.2 kg of an assortment of chicken powder.
- How many containers of Q and R are used altogether?
- Find the difference between the combined weight of all the chicken powder in containers R and containers S as compared to the chicken powder in containers Q. Express the weight in kilograms.
|
Q |
R |
S |
Number |
1 u |
3 u |
6 u |
Value |
240 |
420 |
600 |
Total value |
240 u |
1260 u |
3600 u |
(a)
Total mass of chicken powder
= 240 u + 1260 u + 3600 u
= 5100 u
5100 u = 61200
1 u = 61200 ÷ 5100 = 12
Total number of containers of Q and R used
= 1 u + 3 u
= 4 u
= 4 x 12
= 48
(b)
Combined weight of all the chicken powder in containers R and containers S
= 1260 u + 3600 u
= 4860 u
Difference between the combined weight of all the chicken powder in containers R and containers S as compared to the chicken powder in containers Q
= 4860 u - 240 u
= 4620 u
= 4620 x 12
= 55440 g
= 55.44 kg
Answer(s): (a) 48; (b) 55.44 kg