Three types of rice flour, P, Q and R come in containers of 120 g, 180 g and 360 g respectively. Containers of P, Q and R are mixed together in the ratio 1 : 3 : 4 to obtain 12.6 kg of an assortment of rice flour.
- How many containers of P and Q are used altogether?
- Find the difference between the combined weight of all the rice flour in containers Q and containers R as compared to the rice flour in containers P. Express the weight in kilograms.
|
P |
Q |
R |
Number |
1 u |
3 u |
4 u |
Value |
120 |
180 |
360 |
Total value |
120 u |
540 u |
1440 u |
(a)
Total mass of rice flour
= 120 u + 540 u + 1440 u
= 2100 u
2100 u = 12600
1 u = 12600 ÷ 2100 = 6
Total number of containers of P and Q used
= 1 u + 3 u
= 4 u
= 4 x 6
= 24
(b)
Combined weight of all the rice flour in containers Q and containers R
= 540 u + 1440 u
= 1980 u
Difference between the combined weight of all the rice flour in containers Q and containers R as compared to the rice flour in containers P
= 1980 u - 120 u
= 1860 u
= 1860 x 6
= 11160 g
= 11.16 kg
Answer(s): (a) 24; (b) 11.16 kg