Three types of chicken powder, P, Q and R come in containers of 160 g, 200 g and 240 g respectively. Containers of P, Q and R are mixed together in the ratio 2 : 3 : 4 to obtain 9.4 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 |
160 |
200 |
240 |
Total value |
320 u |
600 u |
960 u |
(a)
Total mass of chicken powder
= 320 u + 600 u + 960 u
= 1880 u
1880 u = 9400
1 u = 9400 ÷ 1880 = 5
Total number of containers of P and Q used
= 2 u + 3 u
= 5 u
= 5 x 5
= 25
(b)
Combined weight of all the chicken powder in containers Q and containers R
= 600 u + 960 u
= 1560 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
= 1560 u - 320 u
= 1240 u
= 1240 x 5
= 6200 g
= 6.2 kg
Answer(s): (a) 25; (b) 6.2 kg