Jon spends 1/4 of his vacation budget on food and 2/3 of his budget on hotels. He spends $242 on food and hotels.What is Jon's vacation budget?

Question

do it as quick as you can.

Answer 1

¹/₄x + ²/₃x = 242

 

We need a common denominator. The LCD is 12:

³/₁₂x + ⁸/₁₂x = 242

¹¹/₁₂x = 242

 

Now to isolate x:

11x = 242 * 12

x = 242 * ¹²/₁₁

x = 22 * 12

x = 264