Three types of chicken powder, Q, R and S come in containers of 240 g, 300 g and 420 g respectively. Containers of Q, R and S are mixed together in the ratio 1 : 4 : 6 to obtain 31.68 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 |
4 u |
6 u |
Value |
240 |
300 |
420 |
Total value |
240 u |
1200 u |
2520 u |
(a)
Total mass of chicken powder
= 240 u + 1200 u + 2520 u
= 3960 u
3960 u = 31680
1 u = 31680 ÷ 3960 = 8
Total number of containers of Q and R used
= 1 u + 4 u
= 5 u
= 5 x 8
= 40
(b)
Combined weight of all the chicken powder in containers R and containers S
= 1200 u + 2520 u
= 3720 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
= 3720 u - 240 u
= 3480 u
= 3480 x 8
= 27840 g
= 27.84 kg
Answer(s): (a) 40; (b) 27.84 kg