Three types of rice flour, B, C and D come in containers of 150 g, 200 g and 350 g respectively. Containers of B, C and D are mixed together in the ratio 2 : 4 : 7 to obtain 35.5 kg of an assortment of rice flour.
- How many containers of B and C are used altogether?
- Find the difference between the combined weight of all the rice flour in containers C and containers D as compared to the rice flour in containers B. Express the weight in kilograms.
|
B |
C |
D |
Number |
2 u |
4 u |
7 u |
Value |
150 |
200 |
350 |
Total value |
300 u |
800 u |
2450 u |
(a)
Total mass of rice flour
= 300 u + 800 u + 2450 u
= 3550 u
3550 u = 35500
1 u = 35500 ÷ 3550 = 10
Total number of containers of B and C used
= 2 u + 4 u
= 6 u
= 6 x 10
= 60
(b)
Combined weight of all the rice flour in containers C and containers D
= 800 u + 2450 u
= 3250 u
Difference between the combined weight of all the rice flour in containers C and containers D as compared to the rice flour in containers B
= 3250 u - 300 u
= 2950 u
= 2950 x 10
= 29500 g
= 29.5 kg
Answer(s): (a) 60; (b) 29.5 kg