Three types of flour, S, T and U come in containers of 80 g, 160 g and 200 g respectively. Containers of S, T and U are mixed together in the ratio 3 : 4 : 5 to obtain 20.68 kg of an assortment of flour.
- How many containers of S and T are used altogether?
- Find the difference between the combined weight of all the flour in containers T and containers U as compared to the flour in containers S. Express the weight in kilograms.
|
S |
T |
U |
Number |
3 u |
4 u |
5 u |
Value |
80 |
160 |
200 |
Total value |
240 u |
640 u |
1000 u |
(a)
Total mass of flour
= 240 u + 640 u + 1000 u
= 1880 u
1880 u = 20680
1 u = 20680 ÷ 1880 = 11
Total number of containers of S and T used
= 3 u + 4 u
= 7 u
= 7 x 11
= 77
(b)
Combined weight of all the flour in containers T and containers U
= 640 u + 1000 u
= 1640 u
Difference between the combined weight of all the flour in containers T and containers U as compared to the flour in containers S
= 1640 u - 240 u
= 1400 u
= 1400 x 11
= 15400 g
= 15.4 kg
Answer(s): (a) 77; (b) 15.4 kg