Algebra 2 question

Question

Shen will donate up to $440  to charity. The money will be divided between two charities: the City Youth Fund and the Educational Growth Foundation. Shen would like the amount donated to the Educational Growth Foundation to be at least twice the amount donated to the City Youth Fund. Let x denote the amount of money (in dollars) donated to the City Youth Fund. Let y  denote the amount of money (in dollars) donated to the Educational Growth Foundation. Shade the region corresponding to all values of x and y that satisfy these requirements.

Answer 1

C+E=440

E>2C

x+y = 440

y>2x

y=440-x

440-x > 2x

-3x > -440 multiply by -1/3 and switch the direction of the inequality sign

x< 440/3 or $146.67 for the City Youth Fund

y> 2(440)/3 or $253.33 for the Educational Growth Fund

0 < x < $146.67

$253.33 < y < $440