Lopez spent 1/3 of his vacation money for travel and 2/5 for lodging. He spent $1100 for travel and lodging. What is the total amount of money spent?

Directions: Write an equation to model the situation
--------------------------

>< I am so sad. Plz help.

2/5 * X+ 1/3 * X = 1100

1500

I'm sorry to hear that you're feeling sad. I'm here to help with any questions you have, including the math problem you've posted. Let's work on solving it together to see if we can find a solution and hopefully make you feel better.

To find the total amount of money Lopez spent, we can set up an equation based on the information given in the problem.

Let's start by breaking down the problem step by step.

Lopez spent 1/3 of his vacation money for travel, which is represented by the fraction 1/3. He spent 2/5 of his vacation money for lodging, which is represented by the fraction 2/5. The total amount he spent on travel and lodging is $1100.

Now let's write an equation to represent this information:

1/3 * M + 2/5 * M = $1100

In this equation, M represents the total amount of vacation money Lopez had.

To solve the equation, we need to find the value of M.

To get rid of the fractions, we can multiply both sides of the equation by the least common multiple (LCM) of 3 and 5, which is 15.

15 * (1/3 * M) + 15 * (2/5 * M) = 15 * $1100

After simplifying the equation, we have:

5M + 6M = $16500

Now we can combine like terms:

11M = $16500

To solve for M, we divide both sides of the equation by 11:

M = $16500 / 11

Calculating the division, we find:

M ≈ $1500

Therefore, the total amount of money Lopez spent is approximately $1500.

I hope this helps! If you have any further questions, feel free to ask.