Three types of curry powder, S, T and U come in containers of 180 g, 240 g and 360 g respectively. Containers of S, T and U are mixed together in the ratio 3 : 5 : 8 to obtain 41.58 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 |
8 u |
Value |
180 |
240 |
360 |
Total value |
540 u |
1200 u |
2880 u |
(a)
Total mass of curry powder
= 540 u + 1200 u + 2880 u
= 4620 u
4620 u = 41580
1 u = 41580 ÷ 4620 = 9
Total number of containers of S and T used
= 3 u + 5 u
= 8 u
= 8 x 9
= 72
(b)
Combined weight of all the curry powder in containers T and containers U
= 1200 u + 2880 u
= 4080 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
= 4080 u - 540 u
= 3540 u
= 3540 x 9
= 31860 g
= 31.86 kg
Answer(s): (a) 72; (b) 31.86 kg