Three types of curry powder, Q, R and S come in containers of 240 g, 300 g and 420 g respectively. Containers of Q, R and S are mixed together in the ratio 3 : 6 : 7 to obtain 65.52 kg of an assortment of curry powder.
- How many containers of Q and R are used altogether?
- Find the difference between the combined weight of all the curry powder in containers R and containers S as compared to the curry powder in containers Q. Express the weight in kilograms.
|
Q |
R |
S |
Number |
3 u |
6 u |
7 u |
Value |
240 |
300 |
420 |
Total value |
720 u |
1800 u |
2940 u |
(a)
Total mass of curry powder
= 720 u + 1800 u + 2940 u
= 5460 u
5460 u = 65520
1 u = 65520 ÷ 5460 = 12
Total number of containers of Q and R used
= 3 u + 6 u
= 9 u
= 9 x 12
= 108
(b)
Combined weight of all the curry powder in containers R and containers S
= 1800 u + 2940 u
= 4740 u
Difference between the combined weight of all the curry powder in containers R and containers S as compared to the curry powder in containers Q
= 4740 u - 720 u
= 4020 u
= 4020 x 12
= 48240 g
= 48.24 kg
Answer(s): (a) 108; (b) 48.24 kg