Three types of bread flour, F, G and H come in containers of 60 g, 150 g and 180 g respectively. Containers of F, G and H are mixed together in the ratio 1 : 3 : 6 to obtain 11.13 kg of an assortment of bread flour.
- How many containers of F and G are used altogether?
- Find the difference between the combined weight of all the bread flour in containers G and containers H as compared to the bread flour in containers F. Express the weight in kilograms.
|
F |
G |
H |
Number |
1 u |
3 u |
6 u |
Value |
60 |
150 |
180 |
Total value |
60 u |
450 u |
1080 u |
(a)
Total mass of bread flour
= 60 u + 450 u + 1080 u
= 1590 u
1590 u = 11130
1 u = 11130 ÷ 1590 = 7
Total number of containers of F and G used
= 1 u + 3 u
= 4 u
= 4 x 7
= 28
(b)
Combined weight of all the bread flour in containers G and containers H
= 450 u + 1080 u
= 1530 u
Difference between the combined weight of all the bread flour in containers G and containers H as compared to the bread flour in containers F
= 1530 u - 60 u
= 1470 u
= 1470 x 7
= 10290 g
= 10.29 kg
Answer(s): (a) 28; (b) 10.29 kg