Three types of curry powder, S, T and U come in containers of 90 g, 180 g and 240 g respectively. Containers of S, T and U are mixed together in the ratio 2 : 3 : 6 to obtain 15.12 kg of an assortment of curry powder.
- How many containers of S and T are used altogether?
- Find the difference between the combined weight of all the curry powder in containers T and containers U as compared to the curry powder in containers S. Express the weight in kilograms.
|
S |
T |
U |
Number |
2 u |
3 u |
6 u |
Value |
90 |
180 |
240 |
Total value |
180 u |
540 u |
1440 u |
(a)
Total mass of curry powder
= 180 u + 540 u + 1440 u
= 2160 u
2160 u = 15120
1 u = 15120 ÷ 2160 = 7
Total number of containers of S and T used
= 2 u + 3 u
= 5 u
= 5 x 7
= 35
(b)
Combined weight of all the curry powder in containers T and containers U
= 540 u + 1440 u
= 1980 u
Difference between the combined weight of all the curry powder in containers T and containers U as compared to the curry powder in containers S
= 1980 u - 180 u
= 1800 u
= 1800 x 7
= 12600 g
= 12.6 kg
Answer(s): (a) 35; (b) 12.6 kg