Question 32252
1. {{{ R + M = 305 }}}solve for R
{{{ R = 305-M }}}
2. {{{ .01R + .10M = 11.60 }}}
Plug the first equation into the second
{{{ .01(305-M) + .10M = 11.60 }}}
Distribute
{{{ 3.05-.01M + .10M = 11.60 }}}
Combine like terms
{{{ 3.05+.09M = 11.60 }}}
subtract 3.05
{{{ .09M = 8.55 }}}
Divide by .09
{{{ M = 95 }}}
substitute back into the first equation
{{{ R = 305-95 }}}
{{{ R = 210 }}}

CHECK :
{{{ .01R + .10M = 11.60 }}}
{{{ .01(210) + .10(95) = 11.60 }}}
{{{ 2.10 + 9.50 = 11.60 }}}
{{{ 11.60 = 11.60 }}}
YES!!!