Three types of chicken powder, N, P and Q come in containers of 60 g, 120 g and 150 g respectively. Containers of N, P and Q are mixed together in the ratio 1 : 4 : 7 to obtain 14.31 kg of an assortment of chicken powder.
- How many containers of N and P are used altogether?
- Find the difference between the combined weight of all the chicken powder in containers P and containers Q as compared to the chicken powder in containers N. Express the weight in kilograms.
|
N |
P |
Q |
Number |
1 u |
4 u |
7 u |
Value |
60 |
120 |
150 |
Total value |
60 u |
480 u |
1050 u |
(a)
Total mass of chicken powder
= 60 u + 480 u + 1050 u
= 1590 u
1590 u = 14310
1 u = 14310 ÷ 1590 = 9
Total number of containers of N and P used
= 1 u + 4 u
= 5 u
= 5 x 9
= 45
(b)
Combined weight of all the chicken powder in containers P and containers Q
= 480 u + 1050 u
= 1530 u
Difference between the combined weight of all the chicken powder in containers P and containers Q as compared to the chicken powder in containers N
= 1530 u - 60 u
= 1470 u
= 1470 x 9
= 13230 g
= 13.23 kg
Answer(s): (a) 45; (b) 13.23 kg