Three types of pepper, G, H and J come in containers of 200 g, 350 g and 450 g respectively. Containers of G, H and J are mixed together in the ratio 2 : 5 : 6 to obtain 29.1 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 |
2 u |
5 u |
6 u |
Value |
200 |
350 |
450 |
Total value |
400 u |
1750 u |
2700 u |
(a)
Total mass of pepper
= 400 u + 1750 u + 2700 u
= 4850 u
4850 u = 29100
1 u = 29100 ÷ 4850 = 6
Total number of containers of G and H used
= 2 u + 5 u
= 7 u
= 7 x 6
= 42
(b)
Combined weight of all the pepper in containers H and containers J
= 1750 u + 2700 u
= 4450 u
Difference between the combined weight of all the pepper in containers H and containers J as compared to the pepper in containers G
= 4450 u - 400 u
= 4050 u
= 4050 x 6
= 24300 g
= 24.3 kg
Answer(s): (a) 42; (b) 24.3 kg