Three types of bread flour, A, B and C come in containers of 100 g, 250 g and 350 g respectively. Containers of A, B and C are mixed together in the ratio 2 : 5 : 8 to obtain 51 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 |
2 u |
5 u |
8 u |
Value |
100 |
250 |
350 |
Total value |
200 u |
1250 u |
2800 u |
(a)
Total mass of bread flour
= 200 u + 1250 u + 2800 u
= 4250 u
4250 u = 51000
1 u = 51000 ÷ 4250 = 12
Total number of containers of A and B used
= 2 u + 5 u
= 7 u
= 7 x 12
= 84
(b)
Combined weight of all the bread flour in containers B and containers C
= 1250 u + 2800 u
= 4050 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
= 4050 u - 200 u
= 3850 u
= 3850 x 12
= 46200 g
= 46.2 kg
Answer(s): (a) 84; (b) 46.2 kg