Three types of curry powder, S, T and U come in containers of 80 g, 120 g and 200 g respectively. Containers of S, T and U are mixed together in the ratio 3 : 4 : 5 to obtain 15.48 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 |
5 u |
Value |
80 |
120 |
200 |
Total value |
240 u |
480 u |
1000 u |
(a)
Total mass of curry powder
= 240 u + 480 u + 1000 u
= 1720 u
1720 u = 15480
1 u = 15480 ÷ 1720 = 9
Total number of containers of S and T used
= 3 u + 4 u
= 7 u
= 7 x 9
= 63
(b)
Combined weight of all the curry powder in containers T and containers U
= 480 u + 1000 u
= 1480 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
= 1480 u - 240 u
= 1240 u
= 1240 x 9
= 11160 g
= 11.16 kg
Answer(s): (a) 63; (b) 11.16 kg