Three types of curry powder, S, T and U come in containers of 60 g, 90 g and 150 g respectively. Containers of S, T and U are mixed together in the ratio 3 : 4 : 6 to obtain 7.2 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 |
3 u |
4 u |
6 u |
Value |
60 |
90 |
150 |
Total value |
180 u |
360 u |
900 u |
(a)
Total mass of curry powder
= 180 u + 360 u + 900 u
= 1440 u
1440 u = 7200
1 u = 7200 ÷ 1440 = 5
Total number of containers of S and T used
= 3 u + 4 u
= 7 u
= 7 x 5
= 35
(b)
Combined weight of all the curry powder in containers T and containers U
= 360 u + 900 u
= 1260 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
= 1260 u - 180 u
= 1080 u
= 1080 x 5
= 5400 g
= 5.4 kg
Answer(s): (a) 35; (b) 5.4 kg