Three types of bread flour, B, C and D come in containers of 60 g, 120 g and 180 g respectively. Containers of B, C and D are mixed together in the ratio 3 : 4 : 6 to obtain 17.4 kg of an assortment of bread flour.
- How many containers of B and C are used altogether?
- Find the difference between the combined weight of all the bread flour in containers C and containers D as compared to the bread flour in containers B. Express the weight in kilograms.
|
B |
C |
D |
Number |
3 u |
4 u |
6 u |
Value |
60 |
120 |
180 |
Total value |
180 u |
480 u |
1080 u |
(a)
Total mass of bread flour
= 180 u + 480 u + 1080 u
= 1740 u
1740 u = 17400
1 u = 17400 ÷ 1740 = 10
Total number of containers of B and C used
= 3 u + 4 u
= 7 u
= 7 x 10
= 70
(b)
Combined weight of all the bread flour in containers C and containers D
= 480 u + 1080 u
= 1560 u
Difference between the combined weight of all the bread flour in containers C and containers D as compared to the bread flour in containers B
= 1560 u - 180 u
= 1380 u
= 1380 x 10
= 13800 g
= 13.8 kg
Answer(s): (a) 70; (b) 13.8 kg