Three types of chilli powder, G, H and J come in containers of 80 g, 120 g and 240 g respectively. Containers of G, H and J are mixed together in the ratio 1 : 3 : 6 to obtain 22.56 kg of an assortment of chilli powder.
- How many containers of G and H are used altogether?
- Find the difference between the combined weight of all the chilli powder in containers H and containers J as compared to the chilli powder in containers G. Express the weight in kilograms.
|
G |
H |
J |
Number |
1 u |
3 u |
6 u |
Value |
80 |
120 |
240 |
Total value |
80 u |
360 u |
1440 u |
(a)
Total mass of chilli powder
= 80 u + 360 u + 1440 u
= 1880 u
1880 u = 22560
1 u = 22560 ÷ 1880 = 12
Total number of containers of G and H used
= 1 u + 3 u
= 4 u
= 4 x 12
= 48
(b)
Combined weight of all the chilli powder in containers H and containers J
= 360 u + 1440 u
= 1800 u
Difference between the combined weight of all the chilli powder in containers H and containers J as compared to the chilli powder in containers G
= 1800 u - 80 u
= 1720 u
= 1720 x 12
= 20640 g
= 20.64 kg
Answer(s): (a) 48; (b) 20.64 kg