Three types of bread flour, A, B and C come in containers of 120 g, 240 g and 360 g respectively. Containers of A, B and C are mixed together in the ratio 1 : 2 : 3 to obtain 18.48 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 |
3 u |
Value |
120 |
240 |
360 |
Total value |
120 u |
480 u |
1080 u |
(a)
Total mass of bread flour
= 120 u + 480 u + 1080 u
= 1680 u
1680 u = 18480
1 u = 18480 ÷ 1680 = 11
Total number of containers of A and B used
= 1 u + 2 u
= 3 u
= 3 x 11
= 33
(b)
Combined weight of all the bread flour in containers B and containers C
= 480 u + 1080 u
= 1560 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
= 1560 u - 120 u
= 1440 u
= 1440 x 11
= 15840 g
= 15.84 kg
Answer(s): (a) 33; (b) 15.84 kg