Three types of curry powder, M, N and P come in containers of 200 g, 350 g and 500 g respectively. Containers of M, N and P are mixed together in the ratio 3 : 4 : 5 to obtain 40.5 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 |
5 u |
Value |
200 |
350 |
500 |
Total value |
600 u |
1400 u |
2500 u |
(a)
Total mass of curry powder
= 600 u + 1400 u + 2500 u
= 4500 u
4500 u = 40500
1 u = 40500 ÷ 4500 = 9
Total number of containers of M and N used
= 3 u + 4 u
= 7 u
= 7 x 9
= 63
(b)
Combined weight of all the curry powder in containers N and containers P
= 1400 u + 2500 u
= 3900 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
= 3900 u - 600 u
= 3300 u
= 3300 x 9
= 29700 g
= 29.7 kg
Answer(s): (a) 63; (b) 29.7 kg