Three types of pepper, H, J and K come in containers of 150 g, 250 g and 350 g respectively. Containers of H, J and K are mixed together in the ratio 2 : 4 : 5 to obtain 27.45 kg of an assortment of pepper.
- How many containers of H and J are used altogether?
- Find the difference between the combined weight of all the pepper in containers J and containers K as compared to the pepper in containers H. Express the weight in kilograms.
|
H |
J |
K |
Number |
2 u |
4 u |
5 u |
Value |
150 |
250 |
350 |
Total value |
300 u |
1000 u |
1750 u |
(a)
Total mass of pepper
= 300 u + 1000 u + 1750 u
= 3050 u
3050 u = 27450
1 u = 27450 ÷ 3050 = 9
Total number of containers of H and J used
= 2 u + 4 u
= 6 u
= 6 x 9
= 54
(b)
Combined weight of all the pepper in containers J and containers K
= 1000 u + 1750 u
= 2750 u
Difference between the combined weight of all the pepper in containers J and containers K as compared to the pepper in containers H
= 2750 u - 300 u
= 2450 u
= 2450 x 9
= 22050 g
= 22.05 kg
Answer(s): (a) 54; (b) 22.05 kg