Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

gabe and his sister lola both got new cell phones. gabe bought his phon…

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

Explanation:

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: \( m = \frac{210}{14} = 15 \).

Answer:

15