Three types of chicken powder, N, P and Q come in containers of 120 g, 240 g and 320 g respectively. Containers of N, P and Q are mixed together in the ratio 2 : 5 : 6 to obtain 16.8 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 |
2 u |
5 u |
6 u |
Value |
120 |
240 |
320 |
Total value |
240 u |
1200 u |
1920 u |
(a)
Total mass of chicken powder
= 240 u + 1200 u + 1920 u
= 3360 u
3360 u = 16800
1 u = 16800 ÷ 3360 = 5
Total number of containers of N and P used
= 2 u + 5 u
= 7 u
= 7 x 5
= 35
(b)
Combined weight of all the chicken powder in containers P and containers Q
= 1200 u + 1920 u
= 3120 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
= 3120 u - 240 u
= 2880 u
= 2880 x 5
= 14400 g
= 14.4 kg
Answer(s): (a) 35; (b) 14.4 kg