Three types of curry powder, M, N and P come in containers of 90 g, 150 g and 210 g respectively. Containers of M, N and P are mixed together in the ratio 2 : 4 : 7 to obtain 20.25 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 |
2 u |
4 u |
7 u |
Value |
90 |
150 |
210 |
Total value |
180 u |
600 u |
1470 u |
(a)
Total mass of curry powder
= 180 u + 600 u + 1470 u
= 2250 u
2250 u = 20250
1 u = 20250 ÷ 2250 = 9
Total number of containers of M and N used
= 2 u + 4 u
= 6 u
= 6 x 9
= 54
(b)
Combined weight of all the curry powder in containers N and containers P
= 600 u + 1470 u
= 2070 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
= 2070 u - 180 u
= 1890 u
= 1890 x 9
= 17010 g
= 17.01 kg
Answer(s): (a) 54; (b) 17.01 kg