Three types of bread flour, D, E and F come in containers of 80 g, 200 g and 280 g respectively. Containers of D, E and F are mixed together in the ratio 1 : 2 : 5 to obtain 9.4 kg of an assortment of bread flour.
- How many containers of D and E are used altogether?
- Find the difference between the combined weight of all the bread flour in containers E and containers F as compared to the bread flour in containers D. Express the weight in kilograms.
|
D |
E |
F |
Number |
1 u |
2 u |
5 u |
Value |
80 |
200 |
280 |
Total value |
80 u |
400 u |
1400 u |
(a)
Total mass of bread flour
= 80 u + 400 u + 1400 u
= 1880 u
1880 u = 9400
1 u = 9400 ÷ 1880 = 5
Total number of containers of D and E used
= 1 u + 2 u
= 3 u
= 3 x 5
= 15
(b)
Combined weight of all the bread flour in containers E and containers F
= 400 u + 1400 u
= 1800 u
Difference between the combined weight of all the bread flour in containers E and containers F as compared to the bread flour in containers D
= 1800 u - 80 u
= 1720 u
= 1720 x 5
= 8600 g
= 8.6 kg
Answer(s): (a) 15; (b) 8.6 kg