Three types of curry powder, M, N and P come in containers of 160 g, 240 g and 360 g respectively. Containers of M, N and P are mixed together in the ratio 3 : 4 : 6 to obtain 39.6 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 |
3 u |
4 u |
6 u |
Value |
160 |
240 |
360 |
Total value |
480 u |
960 u |
2160 u |
(a)
Total mass of curry powder
= 480 u + 960 u + 2160 u
= 3600 u
3600 u = 39600
1 u = 39600 ÷ 3600 = 11
Total number of containers of M and N used
= 3 u + 4 u
= 7 u
= 7 x 11
= 77
(b)
Combined weight of all the curry powder in containers N and containers P
= 960 u + 2160 u
= 3120 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
= 3120 u - 480 u
= 2640 u
= 2640 x 11
= 29040 g
= 29.04 kg
Answer(s): (a) 77; (b) 29.04 kg