Question

gabe and his sister lola both got new cell phones. gabe bought his phone for $350, and his plan costs $30 per month. lola bought her phone for $140, but because she added an extended warranty, her plan costs $44 per month. after how many months will gabe and lola have spent the same amount on their cell phones and plans? months

Explanation:

Step1: Set up equations

Let $x$ be the number of months. Gabe's total cost $C_G=350 + 30x$. Lola's total cost $C_L=140+44x$.

Step2: Set the two equations equal

$350 + 30x=140+44x$.

Step3: Rearrange terms

$44x-30x=350 - 140$.

Step4: Simplify

$14x = 210$.

Step5: Solve for $x$

$x=\frac{210}{14}=15$.

Answer:

15