onal equations in financial contexts\na couple spends $3,200 on necessities each month. they would like to…

onal equations in financial contexts\na couple spends $3,200 on necessities each month. they would like to save 6% of their gross income for a vacation. they want the ratio of necessities and vacation savings to gross income to equal 0.6. which equation can they use to find the monthly gross income, $x$, they need to earn to meet these goals?\n$0.06=\frac{x}{3,200 + 0.6x}$ $0.06=\frac{3,200 + 0.6x}{x}$ $0.6=\frac{3,200 + 0.06x}{x}$ $0.6=\frac{x}{3,200 + 0.06x}$

onal equations in financial contexts\na couple spends $3,200 on necessities each month. they would like to save 6% of their gross income for a vacation. they want the ratio of necessities and vacation savings to gross income to equal 0.6. which equation can they use to find the monthly gross income, $x$, they need to earn to meet these goals?\n$0.06=\frac{x}{3,200 + 0.6x}$ $0.06=\frac{3,200 + 0.6x}{x}$ $0.6=\frac{3,200 + 0.06x}{x}$ $0.6=\frac{x}{3,200 + 0.06x}$

Answer

Explanation:

Step1: Identify the components

Necessities cost is $3200$, vacation - savings is $0.06x$ (6% of gross income $x$), and the ratio of necessities and vacation - savings to gross income is 0.6.

Step2: Set up the equation

The sum of necessities and vacation - savings is $3200 + 0.06x$, and this sum divided by the gross income $x$ should equal 0.6. So the equation is $0.6=\frac{3200 + 0.06x}{x}$.

Answer:

$0.6=\frac{3200 + 0.06x}{x}$