Three types of sugar, F, G and H come in containers of 60 g, 150 g and 180 g respectively. Containers of F, G and H are mixed together in the ratio 1 : 2 : 3 to obtain 5.4 kg of an assortment of sugar.
- How many containers of F and G are used altogether?
- Find the difference between the combined weight of all the sugar in containers G and containers H as compared to the sugar in containers F. Express the weight in kilograms.
|
F |
G |
H |
Number |
1 u |
2 u |
3 u |
Value |
60 |
150 |
180 |
Total value |
60 u |
300 u |
540 u |
(a)
Total mass of sugar
= 60 u + 300 u + 540 u
= 900 u
900 u = 5400
1 u = 5400 ÷ 900 = 6
Total number of containers of F and G used
= 1 u + 2 u
= 3 u
= 3 x 6
= 18
(b)
Combined weight of all the sugar in containers G and containers H
= 300 u + 540 u
= 840 u
Difference between the combined weight of all the sugar in containers G and containers H as compared to the sugar in containers F
= 840 u - 60 u
= 780 u
= 780 x 6
= 4680 g
= 4.68 kg
Answer(s): (a) 18; (b) 4.68 kg