mr wood's monthly expenses was $2.125 after he had reduced it by 15 %the oroginal monthoy expenses was 80% of his monthly income find the original monthly expenses

Answer:$2.50Step-by-step explanation:Let the original monthly expenses be 'x'.Given:Reduced monthly expenses = $2.125Reduction in monthly expenses = 15%Therefore, remaining percentage of monthly expenses = 100 - 15 = 85%Now, as per question:[tex]85\%\ of\ x=2.125\\\frac{85}{100}\times x=2.125\\0.85x=2.125\\x=\frac{2.125}{0.85}=\$2.50[/tex]Therefore, the original monthly expenses of Mr. Wood was $2.50.Also, we can find his monthly income using the value of 'x'. As per question, his monthly expenses is 80% of his income.So, 80% of income = 2.5Income = [tex]\frac{2.5}{0.80}=\$3.125[/tex]So, his monthly income is $ 3.125