Three types of curry powder, R, S and T come in containers of 160 g, 240 g and 360 g respectively. Containers of R, S and T are mixed together in the ratio 2 : 3 : 5 to obtain 25.56 kg of an assortment of curry powder.
- How many containers of R and S are used altogether?
- Find the difference between the combined weight of all the curry powder in containers S and containers T as compared to the curry powder in containers R. Express the weight in kilograms.
|
R |
S |
T |
Number |
2 u |
3 u |
5 u |
Value |
160 |
240 |
360 |
Total value |
320 u |
720 u |
1800 u |
(a)
Total mass of curry powder
= 320 u + 720 u + 1800 u
= 2840 u
2840 u = 25560
1 u = 25560 ÷ 2840 = 9
Total number of containers of R and S used
= 2 u + 3 u
= 5 u
= 5 x 9
= 45
(b)
Combined weight of all the curry powder in containers S and containers T
= 720 u + 1800 u
= 2520 u
Difference between the combined weight of all the curry powder in containers S and containers T as compared to the curry powder in containers R
= 2520 u - 320 u
= 2200 u
= 2200 x 9
= 19800 g
= 19.8 kg
Answer(s): (a) 45; (b) 19.8 kg