Three types of pepper, G, H and J come in containers of 150 g, 200 g and 250 g respectively. Containers of G, H and J are mixed together in the ratio 1 : 2 : 3 to obtain 14.3 kg of an assortment of pepper.
- How many containers of G and H are used altogether?
- Find the difference between the combined weight of all the pepper in containers H and containers J as compared to the pepper in containers G. Express the weight in kilograms.
|
G |
H |
J |
Number |
1 u |
2 u |
3 u |
Value |
150 |
200 |
250 |
Total value |
150 u |
400 u |
750 u |
(a)
Total mass of pepper
= 150 u + 400 u + 750 u
= 1300 u
1300 u = 14300
1 u = 14300 ÷ 1300 = 11
Total number of containers of G and H used
= 1 u + 2 u
= 3 u
= 3 x 11
= 33
(b)
Combined weight of all the pepper in containers H and containers J
= 400 u + 750 u
= 1150 u
Difference between the combined weight of all the pepper in containers H and containers J as compared to the pepper in containers G
= 1150 u - 150 u
= 1000 u
= 1000 x 11
= 11000 g
= 11 kg
Answer(s): (a) 33; (b) 11 kg