Three types of bread flour, M, N and P come in containers of 180 g, 360 g and 420 g respectively. Containers of M, N and P are mixed together in the ratio 2 : 4 : 5 to obtain 35.1 kg of an assortment of bread flour.
- How many containers of M and N are used altogether?
- Find the difference between the combined weight of all the bread flour in containers N and containers P as compared to the bread flour in containers M. Express the weight in kilograms.
|
M |
N |
P |
Number |
2 u |
4 u |
5 u |
Value |
180 |
360 |
420 |
Total value |
360 u |
1440 u |
2100 u |
(a)
Total mass of bread flour
= 360 u + 1440 u + 2100 u
= 3900 u
3900 u = 35100
1 u = 35100 ÷ 3900 = 9
Total number of containers of M and N used
= 2 u + 4 u
= 6 u
= 6 x 9
= 54
(b)
Combined weight of all the bread flour in containers N and containers P
= 1440 u + 2100 u
= 3540 u
Difference between the combined weight of all the bread flour in containers N and containers P as compared to the bread flour in containers M
= 3540 u - 360 u
= 3180 u
= 3180 x 9
= 28620 g
= 28.62 kg
Answer(s): (a) 54; (b) 28.62 kg