Three types of flour, T, U and V come in containers of 240 g, 420 g and 480 g respectively. Containers of T, U and V are mixed together in the ratio 2 : 3 : 4 to obtain 32.94 kg of an assortment of flour.
- How many containers of T and U are used altogether?
- Find the difference between the combined weight of all the flour in containers U and containers V as compared to the flour in containers T. Express the weight in kilograms.
|
T |
U |
V |
Number |
2 u |
3 u |
4 u |
Value |
240 |
420 |
480 |
Total value |
480 u |
1260 u |
1920 u |
(a)
Total mass of flour
= 480 u + 1260 u + 1920 u
= 3660 u
3660 u = 32940
1 u = 32940 ÷ 3660 = 9
Total number of containers of T and U used
= 2 u + 3 u
= 5 u
= 5 x 9
= 45
(b)
Combined weight of all the flour in containers U and containers V
= 1260 u + 1920 u
= 3180 u
Difference between the combined weight of all the flour in containers U and containers V as compared to the flour in containers T
= 3180 u - 480 u
= 2700 u
= 2700 x 9
= 24300 g
= 24.3 kg
Answer(s): (a) 45; (b) 24.3 kg