Three types of flour, P, Q and R come in containers of 60 g, 90 g and 150 g respectively. Containers of P, Q and R are mixed together in the ratio 1 : 2 : 3 to obtain 3.45 kg of an assortment of flour.
- How many containers of P and Q are used altogether?
- Find the difference between the combined weight of all the flour in containers Q and containers R as compared to the flour in containers P. Express the weight in kilograms.
|
P |
Q |
R |
Number |
1 u |
2 u |
3 u |
Value |
60 |
90 |
150 |
Total value |
60 u |
180 u |
450 u |
(a)
Total mass of flour
= 60 u + 180 u + 450 u
= 690 u
690 u = 3450
1 u = 3450 ÷ 690 = 5
Total number of containers of P and Q used
= 1 u + 2 u
= 3 u
= 3 x 5
= 15
(b)
Combined weight of all the flour in containers Q and containers R
= 180 u + 450 u
= 630 u
Difference between the combined weight of all the flour in containers Q and containers R as compared to the flour in containers P
= 630 u - 60 u
= 570 u
= 570 x 5
= 2850 g
= 2.85 kg
Answer(s): (a) 15; (b) 2.85 kg