Three types of flour, G, H and J come in containers of 90 g, 150 g and 180 g respectively. Containers of G, H and J are mixed together in the ratio 3 : 4 : 7 to obtain 10.65 kg of an assortment of flour.
- How many containers of G and H are used altogether?
- Find the difference between the combined weight of all the flour in containers H and containers J as compared to the flour in containers G. Express the weight in kilograms.
|
G |
H |
J |
Number |
3 u |
4 u |
7 u |
Value |
90 |
150 |
180 |
Total value |
270 u |
600 u |
1260 u |
(a)
Total mass of flour
= 270 u + 600 u + 1260 u
= 2130 u
2130 u = 10650
1 u = 10650 ÷ 2130 = 5
Total number of containers of G and H used
= 3 u + 4 u
= 7 u
= 7 x 5
= 35
(b)
Combined weight of all the flour in containers H and containers J
= 600 u + 1260 u
= 1860 u
Difference between the combined weight of all the flour in containers H and containers J as compared to the flour in containers G
= 1860 u - 270 u
= 1590 u
= 1590 x 5
= 7950 g
= 7.95 kg
Answer(s): (a) 35; (b) 7.95 kg