Three types of curry powder, R, S and T come in containers of 100 g, 250 g and 300 g respectively. Containers of R, S and T are mixed together in the ratio 2 : 3 : 4 to obtain 25.8 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 |
4 u |
Value |
100 |
250 |
300 |
Total value |
200 u |
750 u |
1200 u |
(a)
Total mass of curry powder
= 200 u + 750 u + 1200 u
= 2150 u
2150 u = 25800
1 u = 25800 ÷ 2150 = 12
Total number of containers of R and S used
= 2 u + 3 u
= 5 u
= 5 x 12
= 60
(b)
Combined weight of all the curry powder in containers S and containers T
= 750 u + 1200 u
= 1950 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
= 1950 u - 200 u
= 1750 u
= 1750 x 12
= 21000 g
= 21 kg
Answer(s): (a) 60; (b) 21 kg