Three types of chilli powder, H, J and K come in containers of 80 g, 160 g and 280 g respectively. Containers of H, J and K are mixed together in the ratio 1 : 4 : 6 to obtain 21.6 kg of an assortment of chilli powder.
- How many containers of H and J are used altogether?
- Find the difference between the combined weight of all the chilli powder in containers J and containers K as compared to the chilli powder in containers H. Express the weight in kilograms.
|
H |
J |
K |
Number |
1 u |
4 u |
6 u |
Value |
80 |
160 |
280 |
Total value |
80 u |
640 u |
1680 u |
(a)
Total mass of chilli powder
= 80 u + 640 u + 1680 u
= 2400 u
2400 u = 21600
1 u = 21600 ÷ 2400 = 9
Total number of containers of H and J used
= 1 u + 4 u
= 5 u
= 5 x 9
= 45
(b)
Combined weight of all the chilli powder in containers J and containers K
= 640 u + 1680 u
= 2320 u
Difference between the combined weight of all the chilli powder in containers J and containers K as compared to the chilli powder in containers H
= 2320 u - 80 u
= 2240 u
= 2240 x 9
= 20160 g
= 20.16 kg
Answer(s): (a) 45; (b) 20.16 kg