Three types of flour, R, S and T come in containers of 80 g, 160 g and 200 g respectively. Containers of R, S and T are mixed together in the ratio 1 : 4 : 6 to obtain 15.36 kg of an assortment of flour.
- How many containers of R and S are used altogether?
- Find the difference between the combined weight of all the flour in containers S and containers T as compared to the flour in containers R. Express the weight in kilograms.
|
R |
S |
T |
Number |
1 u |
4 u |
6 u |
Value |
80 |
160 |
200 |
Total value |
80 u |
640 u |
1200 u |
(a)
Total mass of flour
= 80 u + 640 u + 1200 u
= 1920 u
1920 u = 15360
1 u = 15360 ÷ 1920 = 8
Total number of containers of R and S used
= 1 u + 4 u
= 5 u
= 5 x 8
= 40
(b)
Combined weight of all the flour in containers S and containers T
= 640 u + 1200 u
= 1840 u
Difference between the combined weight of all the flour in containers S and containers T as compared to the flour in containers R
= 1840 u - 80 u
= 1760 u
= 1760 x 8
= 14080 g
= 14.08 kg
Answer(s): (a) 40; (b) 14.08 kg