Three types of bread flour, W, X and Y come in containers of 160 g, 240 g and 360 g respectively. Containers of W, X and Y are mixed together in the ratio 2 : 5 : 7 to obtain 40.4 kg of an assortment of bread flour.
- How many containers of W and X are used altogether?
- Find the difference between the combined weight of all the bread flour in containers X and containers Y as compared to the bread flour in containers W. Express the weight in kilograms.
|
W |
X |
Y |
Number |
2 u |
5 u |
7 u |
Value |
160 |
240 |
360 |
Total value |
320 u |
1200 u |
2520 u |
(a)
Total mass of bread flour
= 320 u + 1200 u + 2520 u
= 4040 u
4040 u = 40400
1 u = 40400 ÷ 4040 = 10
Total number of containers of W and X used
= 2 u + 5 u
= 7 u
= 7 x 10
= 70
(b)
Combined weight of all the bread flour in containers X and containers Y
= 1200 u + 2520 u
= 3720 u
Difference between the combined weight of all the bread flour in containers X and containers Y as compared to the bread flour in containers W
= 3720 u - 320 u
= 3400 u
= 3400 x 10
= 34000 g
= 34 kg
Answer(s): (a) 70; (b) 34 kg