Three types of pepper, S, T and U come in containers of 120 g, 240 g and 320 g respectively. Containers of S, T and U are mixed together in the ratio 3 : 5 : 8 to obtain 20.6 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 |
3 u |
5 u |
8 u |
Value |
120 |
240 |
320 |
Total value |
360 u |
1200 u |
2560 u |
(a)
Total mass of pepper
= 360 u + 1200 u + 2560 u
= 4120 u
4120 u = 20600
1 u = 20600 ÷ 4120 = 5
Total number of containers of S and T used
= 3 u + 5 u
= 8 u
= 8 x 5
= 40
(b)
Combined weight of all the pepper in containers T and containers U
= 1200 u + 2560 u
= 3760 u
Difference between the combined weight of all the pepper in containers T and containers U as compared to the pepper in containers S
= 3760 u - 360 u
= 3400 u
= 3400 x 5
= 17000 g
= 17 kg
Answer(s): (a) 40; (b) 17 kg