Three types of bread flour, N, P and Q come in containers of 120 g, 180 g and 240 g respectively. Containers of N, P and Q are mixed together in the ratio 3 : 4 : 7 to obtain 33.12 kg of an assortment of bread flour.
- How many containers of N and P are used altogether?
- Find the difference between the combined weight of all the bread flour in containers P and containers Q as compared to the bread flour in containers N. Express the weight in kilograms.
|
N |
P |
Q |
Number |
3 u |
4 u |
7 u |
Value |
120 |
180 |
240 |
Total value |
360 u |
720 u |
1680 u |
(a)
Total mass of bread flour
= 360 u + 720 u + 1680 u
= 2760 u
2760 u = 33120
1 u = 33120 ÷ 2760 = 12
Total number of containers of N and P used
= 3 u + 4 u
= 7 u
= 7 x 12
= 84
(b)
Combined weight of all the bread flour in containers P and containers Q
= 720 u + 1680 u
= 2400 u
Difference between the combined weight of all the bread flour in containers P and containers Q as compared to the bread flour in containers N
= 2400 u - 360 u
= 2040 u
= 2040 x 12
= 24480 g
= 24.48 kg
Answer(s): (a) 84; (b) 24.48 kg