Answer:
59.) 80 smokers, 280 nonsmokers.
61.) 240 men, 200 women
Step-by-step explanation:
59.)
Start with:
[tex]\frac{2}{7}= \frac{x-100}{x+100}[/tex]
Cross product.
[tex]2x+200=7x-700[/tex]
Subtract [tex]2x[/tex] from both sides of the equation.
[tex]200=5x-700[/tex]
Add [tex]700[/tex] to both sides of the equation.
[tex]900=5x[/tex]
Divide by [tex]5[/tex]
[tex]x=180[/tex]
Substitute in your x-value.
[tex](180)-100 = 80[/tex]
[tex](180)+100= 280[/tex]
61.)
Start with:
[tex]6x+5x=440[/tex]
Combine like terms.
[tex]11x=440[/tex]
Divide by the coefficient of [tex]x[/tex], which is [tex]11[/tex]
[tex]x=40[/tex]
Substitute.
[tex]6(40)=240[/tex]
[tex]5(40)=200[/tex]
