Answer: 2x+16.5=4x+7.5 is your equation
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let's call [tex]x[/tex] hours.
So, Naomi paints at a rate of [tex]2x[/tex] which means 2 square feet per hour. Additionally, we know that she already painted 16.5 square feet. All this is expressed as
[tex]N=2x+16.5[/tex]
On the other hand, Claire paints at a rate of [tex]4x[/tex], that is, 4 square feet per hour. She already painted 7.5 square feet. All this can be expressed as
[tex]C=4x+7.5[/tex]
If we want to find the time where the paint an equal number of square feet, we just need to make then equal, that is
[tex]N=C\\2x+16.5=4x+7.5[/tex]
Then, we solve for [tex]x[/tex]
[tex]2x+16.5=4x+7.5\\16.5-7.5=4x-2x\\2x=9\\x=\frac{9}{2}=4\frac{1}{2}[/tex]
Therefore, after four and a half hours, they will paint the same amount of area.