Three types of bread flour, A, B and C come in containers of 240 g, 420 g and 600 g respectively. Containers of A, B and C are mixed together in the ratio 1 : 2 : 5 to obtain 20.4 kg of an assortment of bread flour.
- How many containers of A and B are used altogether?
- Find the difference between the combined weight of all the bread flour in containers B and containers C as compared to the bread flour in containers A. Express the weight in kilograms.
|
A |
B |
C |
Number |
1 u |
2 u |
5 u |
Value |
240 |
420 |
600 |
Total value |
240 u |
840 u |
3000 u |
(a)
Total mass of bread flour
= 240 u + 840 u + 3000 u
= 4080 u
4080 u = 20400
1 u = 20400 ÷ 4080 = 5
Total number of containers of A and B used
= 1 u + 2 u
= 3 u
= 3 x 5
= 15
(b)
Combined weight of all the bread flour in containers B and containers C
= 840 u + 3000 u
= 3840 u
Difference between the combined weight of all the bread flour in containers B and containers C as compared to the bread flour in containers A
= 3840 u - 240 u
= 3600 u
= 3600 x 5
= 18000 g
= 18 kg
Answer(s): (a) 15; (b) 18 kg