Three types of bread flour, W, X and Y come in containers of 120 g, 180 g and 210 g respectively. Containers of W, X and Y are mixed together in the ratio 2 : 5 : 7 to obtain 23.49 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 |
120 |
180 |
210 |
Total value |
240 u |
900 u |
1470 u |
(a)
Total mass of bread flour
= 240 u + 900 u + 1470 u
= 2610 u
2610 u = 23490
1 u = 23490 ÷ 2610 = 9
Total number of containers of W and X used
= 2 u + 5 u
= 7 u
= 7 x 9
= 63
(b)
Combined weight of all the bread flour in containers X and containers Y
= 900 u + 1470 u
= 2370 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
= 2370 u - 240 u
= 2130 u
= 2130 x 9
= 19170 g
= 19.17 kg
Answer(s): (a) 63; (b) 19.17 kg