Three types of bread flour, R, S and T come in containers of 240 g, 420 g and 600 g respectively. Containers of R, S and T are mixed together in the ratio 1 : 3 : 5 to obtain 40.5 kg of an assortment of bread flour.
- How many containers of R and S are used altogether?
- Find the difference between the combined weight of all the bread flour in containers S and containers T as compared to the bread flour in containers R. Express the weight in kilograms.
|
R |
S |
T |
Number |
1 u |
3 u |
5 u |
Value |
240 |
420 |
600 |
Total value |
240 u |
1260 u |
3000 u |
(a)
Total mass of bread flour
= 240 u + 1260 u + 3000 u
= 4500 u
4500 u = 40500
1 u = 40500 ÷ 4500 = 9
Total number of containers of R and S used
= 1 u + 3 u
= 4 u
= 4 x 9
= 36
(b)
Combined weight of all the bread flour in containers S and containers T
= 1260 u + 3000 u
= 4260 u
Difference between the combined weight of all the bread flour in containers S and containers T as compared to the bread flour in containers R
= 4260 u - 240 u
= 4020 u
= 4020 x 9
= 36180 g
= 36.18 kg
Answer(s): (a) 36; (b) 36.18 kg