Three types of chicken powder, P, Q and R come in containers of 180 g, 240 g and 360 g respectively. Containers of P, Q and R are mixed together in the ratio 2 : 3 : 4 to obtain 30.24 kg of an assortment of chicken powder.
- How many containers of P and Q are used altogether?
- Find the difference between the combined weight of all the chicken powder in containers Q and containers R as compared to the chicken powder in containers P. Express the weight in kilograms.
|
P |
Q |
R |
Number |
2 u |
3 u |
4 u |
Value |
180 |
240 |
360 |
Total value |
360 u |
720 u |
1440 u |
(a)
Total mass of chicken powder
= 360 u + 720 u + 1440 u
= 2520 u
2520 u = 30240
1 u = 30240 ÷ 2520 = 12
Total number of containers of P and Q used
= 2 u + 3 u
= 5 u
= 5 x 12
= 60
(b)
Combined weight of all the chicken powder in containers Q and containers R
= 720 u + 1440 u
= 2160 u
Difference between the combined weight of all the chicken powder in containers Q and containers R as compared to the chicken powder in containers P
= 2160 u - 360 u
= 1800 u
= 1800 x 12
= 21600 g
= 21.6 kg
Answer(s): (a) 60; (b) 21.6 kg