Three types of curry powder, S, T and U come in containers of 180 g, 360 g and 420 g respectively. Containers of S, T and U are mixed together in the ratio 3 : 5 : 7 to obtain 42.24 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 |
5 u |
7 u |
Value |
180 |
360 |
420 |
Total value |
540 u |
1800 u |
2940 u |
(a)
Total mass of curry powder
= 540 u + 1800 u + 2940 u
= 5280 u
5280 u = 42240
1 u = 42240 ÷ 5280 = 8
Total number of containers of S and T used
= 3 u + 5 u
= 8 u
= 8 x 8
= 64
(b)
Combined weight of all the curry powder in containers T and containers U
= 1800 u + 2940 u
= 4740 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
= 4740 u - 540 u
= 4200 u
= 4200 x 8
= 33600 g
= 33.6 kg
Answer(s): (a) 64; (b) 33.6 kg