Answer: $2933
Explanation:
To find the total amount of money Lopez spent on his vacation, we need to add up the amounts he spent on travel and lodging.
First, let's determine the fraction of his vacation money that Lopez spent on travel and lodging. He spent 3 parts out of 8 parts for travel and 5 parts out of 8 parts for lodging.
Next, we can use this information to find the total amount of money he spent on travel and lodging. If $1100 represents 3 parts out of 8 parts, we can set up the following equation:
(3/8) * X = $1100
To solve for X, we need to isolate it. We can do this by multiplying both sides of the equation by the reciprocal of 3/8, which is 8/3:
X = ($1100) * (8/3)
Calculating this, we find that X is approximately $2933.33.
Therefore, the total amount of money Lopez spent on his vacation is $2933.33.