Three types of pepper, S, T and U come in containers of 60 g, 150 g and 240 g respectively. Containers of S, T and U are mixed together in the ratio 1 : 3 : 6 to obtain 17.55 kg of an assortment of pepper.
- How many containers of S and T are used altogether?
- Find the difference between the combined weight of all the pepper in containers T and containers U as compared to the pepper in containers S. Express the weight in kilograms.
|
S |
T |
U |
Number |
1 u |
3 u |
6 u |
Value |
60 |
150 |
240 |
Total value |
60 u |
450 u |
1440 u |
(a)
Total mass of pepper
= 60 u + 450 u + 1440 u
= 1950 u
1950 u = 17550
1 u = 17550 ÷ 1950 = 9
Total number of containers of S and T used
= 1 u + 3 u
= 4 u
= 4 x 9
= 36
(b)
Combined weight of all the pepper in containers T and containers U
= 450 u + 1440 u
= 1890 u
Difference between the combined weight of all the pepper in containers T and containers U as compared to the pepper in containers S
= 1890 u - 60 u
= 1830 u
= 1830 x 9
= 16470 g
= 16.47 kg
Answer(s): (a) 36; (b) 16.47 kg