Three types of curry powder, M, N and P come in containers of 180 g, 360 g and 420 g respectively. Containers of M, N and P are mixed together in the ratio 1 : 4 : 7 to obtain 22.8 kg of an assortment of curry powder.
- How many containers of M and N are used altogether?
- Find the difference between the combined weight of all the curry powder in containers N and containers P as compared to the curry powder in containers M. Express the weight in kilograms.
|
M |
N |
P |
Number |
1 u |
4 u |
7 u |
Value |
180 |
360 |
420 |
Total value |
180 u |
1440 u |
2940 u |
(a)
Total mass of curry powder
= 180 u + 1440 u + 2940 u
= 4560 u
4560 u = 22800
1 u = 22800 ÷ 4560 = 5
Total number of containers of M and N used
= 1 u + 4 u
= 5 u
= 5 x 5
= 25
(b)
Combined weight of all the curry powder in containers N and containers P
= 1440 u + 2940 u
= 4380 u
Difference between the combined weight of all the curry powder in containers N and containers P as compared to the curry powder in containers M
= 4380 u - 180 u
= 4200 u
= 4200 x 5
= 21000 g
= 21 kg
Answer(s): (a) 25; (b) 21 kg