Three types of pepper, M, N and P come in containers of 60 g, 90 g and 150 g respectively. Containers of M, N and P are mixed together in the ratio 1 : 2 : 5 to obtain 9.9 kg of an assortment of pepper.
- How many containers of M and N are used altogether?
- Find the difference between the combined weight of all the pepper in containers N and containers P as compared to the pepper in containers M. Express the weight in kilograms.
|
M |
N |
P |
Number |
1 u |
2 u |
5 u |
Value |
60 |
90 |
150 |
Total value |
60 u |
180 u |
750 u |
(a)
Total mass of pepper
= 60 u + 180 u + 750 u
= 990 u
990 u = 9900
1 u = 9900 ÷ 990 = 10
Total number of containers of M and N used
= 1 u + 2 u
= 3 u
= 3 x 10
= 30
(b)
Combined weight of all the pepper in containers N and containers P
= 180 u + 750 u
= 930 u
Difference between the combined weight of all the pepper in containers N and containers P as compared to the pepper in containers M
= 930 u - 60 u
= 870 u
= 870 x 10
= 8700 g
= 8.7 kg
Answer(s): (a) 30; (b) 8.7 kg