Three types of pepper, P, Q and R come in containers of 80 g, 120 g and 240 g respectively. Containers of P, Q and R are mixed together in the ratio 1 : 2 : 3 to obtain 6.24 kg of an assortment of pepper.
- How many containers of P and Q are used altogether?
- Find the difference between the combined weight of all the pepper in containers Q and containers R as compared to the pepper in containers P. Express the weight in kilograms.
|
P |
Q |
R |
Number |
1 u |
2 u |
3 u |
Value |
80 |
120 |
240 |
Total value |
80 u |
240 u |
720 u |
(a)
Total mass of pepper
= 80 u + 240 u + 720 u
= 1040 u
1040 u = 6240
1 u = 6240 ÷ 1040 = 6
Total number of containers of P and Q used
= 1 u + 2 u
= 3 u
= 3 x 6
= 18
(b)
Combined weight of all the pepper in containers Q and containers R
= 240 u + 720 u
= 960 u
Difference between the combined weight of all the pepper in containers Q and containers R as compared to the pepper in containers P
= 960 u - 80 u
= 880 u
= 880 x 6
= 5280 g
= 5.28 kg
Answer(s): (a) 18; (b) 5.28 kg