Three types of rice flour, G, H and J come in containers of 150 g, 200 g and 250 g respectively. Containers of G, H and J are mixed together in the ratio 1 : 2 : 4 to obtain 15.5 kg of an assortment of rice flour.
- How many containers of G and H are used altogether?
- Find the difference between the combined weight of all the rice flour in containers H and containers J as compared to the rice flour in containers G. Express the weight in kilograms.
|
G |
H |
J |
Number |
1 u |
2 u |
4 u |
Value |
150 |
200 |
250 |
Total value |
150 u |
400 u |
1000 u |
(a)
Total mass of rice flour
= 150 u + 400 u + 1000 u
= 1550 u
1550 u = 15500
1 u = 15500 ÷ 1550 = 10
Total number of containers of G and H used
= 1 u + 2 u
= 3 u
= 3 x 10
= 30
(b)
Combined weight of all the rice flour in containers H and containers J
= 400 u + 1000 u
= 1400 u
Difference between the combined weight of all the rice flour in containers H and containers J as compared to the rice flour in containers G
= 1400 u - 150 u
= 1250 u
= 1250 x 10
= 12500 g
= 12.5 kg
Answer(s): (a) 30; (b) 12.5 kg