Question
Solve for the unknown variables. k:p:3=11:8:15
Solution
4.7
(185 Votes)
Stuart
Veteran ยท Tutor for 9 years
Answer
k = 2.2; p = 1.6
Explanation
To solve the proportions with unknown variables, k and p, we must ensure that the ratios are equivalent. Given the proportions
, we set up two separate equations from these proportions. The first one comes from
, and the second one from
. Simplifying both equations by cross-multiplying will allow us to solve for the unknown variables k and p.1. Cross multiplying the equations will give us:For
:
For
:
2. We can simplify the fractions and compute the values for k and p:
So, the values of k and p with which the proportions remain consistent are 2.2 and 1.6 respectively.