Three types of chicken powder, P, Q and R come in containers of 150 g, 300 g and 400 g respectively. Containers of P, Q and R are mixed together in the ratio 2 : 4 : 5 to obtain 28 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 |
4 u |
5 u |
Value |
150 |
300 |
400 |
Total value |
300 u |
1200 u |
2000 u |
(a)
Total mass of chicken powder
= 300 u + 1200 u + 2000 u
= 3500 u
3500 u = 28000
1 u = 28000 ÷ 3500 = 8
Total number of containers of P and Q used
= 2 u + 4 u
= 6 u
= 6 x 8
= 48
(b)
Combined weight of all the chicken powder in containers Q and containers R
= 1200 u + 2000 u
= 3200 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
= 3200 u - 300 u
= 2900 u
= 2900 x 8
= 23200 g
= 23.2 kg
Answer(s): (a) 48; (b) 23.2 kg