Three types of bread flour, G, H and J come in containers of 100 g, 200 g and 250 g respectively. Containers of G, H and J are mixed together in the ratio 2 : 5 : 7 to obtain 26.55 kg of an assortment of bread flour.
- How many containers of G and H are used altogether?
- Find the difference between the combined weight of all the bread flour in containers H and containers J as compared to the bread flour in containers G. Express the weight in kilograms.
|
G |
H |
J |
Number |
2 u |
5 u |
7 u |
Value |
100 |
200 |
250 |
Total value |
200 u |
1000 u |
1750 u |
(a)
Total mass of bread flour
= 200 u + 1000 u + 1750 u
= 2950 u
2950 u = 26550
1 u = 26550 ÷ 2950 = 9
Total number of containers of G and H used
= 2 u + 5 u
= 7 u
= 7 x 9
= 63
(b)
Combined weight of all the bread flour in containers H and containers J
= 1000 u + 1750 u
= 2750 u
Difference between the combined weight of all the bread flour in containers H and containers J as compared to the bread flour in containers G
= 2750 u - 200 u
= 2550 u
= 2550 x 9
= 22950 g
= 22.95 kg
Answer(s): (a) 63; (b) 22.95 kg