If x represents the total number of bags a person checks and each person checks more than two bags, the equation below can be used to determine C, the total fee for all the bags.
20 + 25 + 50(x - 2) = C
Arianna paid a total of $145 to check all her bags on a flight. How many bags did she check in all?
20+25+50x-100=145
solve for x
20 + 25 + 50(x - 2) = C
Arianna paid a total of $145 to check all her bags on a flight. How many bags did she check in all?
To find the number of bags Arianna checked in all, we need to solve the equation:
20 + 25 + 50(x - 2) = 145
First, let's simplify the equation:
45 + 50(x - 2) = 145
Next, let's distribute the 50 to the terms inside the parentheses:
45 + 50x - 100 = 145
Now, let's combine like terms:
50x - 55 = 145
To isolate the variable, let's add 55 to both sides:
50x = 200
Finally, let's divide both sides by 50 to solve for x:
x = 4
Therefore, Arianna checked a total of 4 bags.