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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?
square months
Step1: Define variables and equations
Let \( m \) be the number of months. Gabe's total cost is \( 350 + 30m \), Lola's total cost is \( 140 + 44m \). We set them equal: \( 350 + 30m = 140 + 44m \).
Step2: Solve for \( m \)
Subtract \( 30m \) from both sides: \( 350 = 140 + 14m \).
Subtract 140 from both sides: \( 210 = 14m \).
Divide by 14: \( m = \frac{210}{14} = 15 \).
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