Hi,
x + y = 25
solve for x and y where ratio of x:y is 4:3
Could someone please run me through the steps for solving 2 unknowns based on a ratio?
Many thanks
Dave
If $\displaystyle x + y = 25$ then $\displaystyle y = 25 - x$.
So from the ratio
$\displaystyle x:y = 4:3$
$\displaystyle \frac{y}{x} = \frac{3}{4}$
$\displaystyle y = \frac{3x}{4}$.
Therefore $\displaystyle \frac{3x}{4} = 25 - x$
$\displaystyle 3x = 100 - 4x$
$\displaystyle 7x = 100$
$\displaystyle x = \frac{100}{7}$.
Which means $\displaystyle y = 25 - \frac{100}{7}$
$\displaystyle = \frac{175}{7} - \frac{100}{7}$
$\displaystyle = \frac{75}{7}$.