Question 997622

let  income be {{{x}}}

if a family allows {{{1/3}}} of its income for housing and {{{1/4}}} of its income for food, means {{{x/3}}} of its income for housing and {{{x/4}}} of its income for food

if it budgets a total of ${{{1050}}} a month for housing and food,means

 {{{x/3+x/4=1050}}}....solve for {{{x}}}

{{{x/3+x/4=1050}}}...find common denominator; for {{{3}}} and {{{4}}} will be {{{12}}}

{{{4x/(4*3)+3x/(3*4)=1050}}}


{{{4x/12+3x/12=1050}}}

{{{(4x+3x)/12=1050}}}

{{{7x/12=1050}}}

{{{7x=1050*12}}}

{{{x=12600/7}}}

{{{highlight(x=1800)}}}

so,the family's monthly income is ${{{1800}}}

check:

${{{x/3=1800/3=600}}} of its income for housing, and 
${{{x/4=1800/4=450}}} of its income for food

${{{600+450=1050}}} which verifies our answer