Jo spends 25 percent of her monthly income on food, 30 percent on rent, 20 percent on insurance, and 10 percent on entertainment and miscellaneous expenses. Of her remaining income, she gives half to charity and saves the rest. If Jo saves 75 dollars every month, what is her total monthly income?
A) 1000 B) 1500 C)1600 D)2500 E)5000

Respuesta :

Jo has a total monthly income for $1000.

Step-by-step explanation:

Percent spent on food = 25%

Percent spent on rent = 30%

Percent spent on insurance = 20%

Percent spent on entertainment = 10%

Total = (25+30+20+10)% = 85%

As 100% is the full monthly salary, so remaining will be

Remaining salary = (100-85)% = 15%

Half of remaining is spent on charity = [tex]\frac{15}{2}=7.5\%[/tex]

Remaining 7.5% is saved by Jo.

Amount saved by Jo = $75

Let,

x be the monthly salary of Jo.

7.5% of x = 75

[tex]\frac{7.5}{100}x=75\\0.075x=75[/tex]

Dividing both sides by 0.075

[tex]\frac{0.075x}{0.075}=\frac{75}{0.075}\\x=1000[/tex]

Jo has a total monthly income for $1000.

Keywords: addition, division

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