Three types of chicken powder, P, Q and R come in containers of 120 g, 150 g and 240 g respectively. Containers of P, Q and R are mixed together in the ratio 2 : 5 : 6 to obtain 19.44 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 |
5 u |
6 u |
Value |
120 |
150 |
240 |
Total value |
240 u |
750 u |
1440 u |
(a)
Total mass of chicken powder
= 240 u + 750 u + 1440 u
= 2430 u
2430 u = 19440
1 u = 19440 ÷ 2430 = 8
Total number of containers of P and Q used
= 2 u + 5 u
= 7 u
= 7 x 8
= 56
(b)
Combined weight of all the chicken powder in containers Q and containers R
= 750 u + 1440 u
= 2190 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
= 2190 u - 240 u
= 1950 u
= 1950 x 8
= 15600 g
= 15.6 kg
Answer(s): (a) 56; (b) 15.6 kg