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: Establecer ecuaciones

Sea $m$ el número de meses. El costo total de Gabe es $C_G = 350+30m$. El costo total de Lola es $C_L=140 + 44m$.

Step2: Igualar las ecuaciones

Igualamos $C_G$ y $C_L$: $350+30m=140 + 44m$.

Step3: Reorganizar términos

Restamos $30m$ de ambos lados: $350=140 + 44m-30m$, lo que da $350=140 + 14m$.

Step4: Isolar la variable

Restamos 140 de ambos lados: $350 - 140=14m$, es decir $210 = 14m$.

Step5: Resolver para $m$

Dividimos ambos lados por 14: $m=\frac{210}{14}=15$.

Answer:

15