Three types of chicken powder, R, S and T come in containers of 60 g, 90 g and 180 g respectively. Containers of R, S and T are mixed together in the ratio 2 : 3 : 6 to obtain 14.7 kg of an assortment of chicken powder.
- How many containers of R and S are used altogether?
- Find the difference between the combined weight of all the chicken powder in containers S and containers T as compared to the chicken powder in containers R. Express the weight in kilograms.
|
R |
S |
T |
Number |
2 u |
3 u |
6 u |
Value |
60 |
90 |
180 |
Total value |
120 u |
270 u |
1080 u |
(a)
Total mass of chicken powder
= 120 u + 270 u + 1080 u
= 1470 u
1470 u = 14700
1 u = 14700 ÷ 1470 = 10
Total number of containers of R and S used
= 2 u + 3 u
= 5 u
= 5 x 10
= 50
(b)
Combined weight of all the chicken powder in containers S and containers T
= 270 u + 1080 u
= 1350 u
Difference between the combined weight of all the chicken powder in containers S and containers T as compared to the chicken powder in containers R
= 1350 u - 120 u
= 1230 u
= 1230 x 10
= 12300 g
= 12.3 kg
Answer(s): (a) 50; (b) 12.3 kg