Three types of bread flour, U, V and W come in containers of 80 g, 160 g and 200 g respectively. Containers of U, V and W are mixed together in the ratio 3 : 5 : 6 to obtain 26.88 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 |
5 u |
6 u |
Value |
80 |
160 |
200 |
Total value |
240 u |
800 u |
1200 u |
(a)
Total mass of bread flour
= 240 u + 800 u + 1200 u
= 2240 u
2240 u = 26880
1 u = 26880 ÷ 2240 = 12
Total number of containers of U and V used
= 3 u + 5 u
= 8 u
= 8 x 12
= 96
(b)
Combined weight of all the bread flour in containers V and containers W
= 800 u + 1200 u
= 2000 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
= 2000 u - 240 u
= 1760 u
= 1760 x 12
= 21120 g
= 21.12 kg
Answer(s): (a) 96; (b) 21.12 kg