Three types of bread flour, E, F and G come in containers of 100 g, 250 g and 350 g respectively. Containers of E, F and G are mixed together in the ratio 3 : 4 : 5 to obtain 21.35 kg of an assortment of bread flour.
- How many containers of E and F are used altogether?
- Find the difference between the combined weight of all the bread flour in containers F and containers G as compared to the bread flour in containers E. Express the weight in kilograms.
|
E |
F |
G |
Number |
3 u |
4 u |
5 u |
Value |
100 |
250 |
350 |
Total value |
300 u |
1000 u |
1750 u |
(a)
Total mass of bread flour
= 300 u + 1000 u + 1750 u
= 3050 u
3050 u = 21350
1 u = 21350 ÷ 3050 = 7
Total number of containers of E and F used
= 3 u + 4 u
= 7 u
= 7 x 7
= 49
(b)
Combined weight of all the bread flour in containers F and containers G
= 1000 u + 1750 u
= 2750 u
Difference between the combined weight of all the bread flour in containers F and containers G as compared to the bread flour in containers E
= 2750 u - 300 u
= 2450 u
= 2450 x 7
= 17150 g
= 17.15 kg
Answer(s): (a) 49; (b) 17.15 kg