Three types of bread flour, F, G and H come in containers of 120 g, 180 g and 240 g respectively. Containers of F, G and H are mixed together in the ratio 3 : 5 : 7 to obtain 35.28 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 |
3 u |
5 u |
7 u |
Value |
120 |
180 |
240 |
Total value |
360 u |
900 u |
1680 u |
(a)
Total mass of bread flour
= 360 u + 900 u + 1680 u
= 2940 u
2940 u = 35280
1 u = 35280 ÷ 2940 = 12
Total number of containers of F and G used
= 3 u + 5 u
= 8 u
= 8 x 12
= 96
(b)
Combined weight of all the bread flour in containers G and containers H
= 900 u + 1680 u
= 2580 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
= 2580 u - 360 u
= 2220 u
= 2220 x 12
= 26640 g
= 26.64 kg
Answer(s): (a) 96; (b) 26.64 kg