Three types of bread flour, U, V and W come in containers of 90 g, 180 g and 210 g respectively. Containers of U, V and W are mixed together in the ratio 3 : 6 : 7 to obtain 25.38 kg of an assortment of bread flour.
- How many containers of U and V are used altogether?
- Find the difference between the combined weight of all the bread flour in containers V and containers W as compared to the bread flour in containers U. Express the weight in kilograms.
|
U |
V |
W |
Number |
3 u |
6 u |
7 u |
Value |
90 |
180 |
210 |
Total value |
270 u |
1080 u |
1470 u |
(a)
Total mass of bread flour
= 270 u + 1080 u + 1470 u
= 2820 u
2820 u = 25380
1 u = 25380 ÷ 2820 = 9
Total number of containers of U and V used
= 3 u + 6 u
= 9 u
= 9 x 9
= 81
(b)
Combined weight of all the bread flour in containers V and containers W
= 1080 u + 1470 u
= 2550 u
Difference between the combined weight of all the bread flour in containers V and containers W as compared to the bread flour in containers U
= 2550 u - 270 u
= 2280 u
= 2280 x 9
= 20520 g
= 20.52 kg
Answer(s): (a) 81; (b) 20.52 kg