Write an equation to model the situation. Concert tickets cost $25 each. There was a service charge of $3 per ticket. The total came to $252. How many tickets were ordered?
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the statement:
Concert tickets cost $25 each. There was a service charge of $3 per ticket. The total came to $252.
Determrne the equation of the model and how many tickets were ordered.
Solution:
The equation can be represented as,
25 + 3x = 252
To determine the number, of tickets, we solve for x. Transpose 25 to the other side of the equation, hence we must take note that in transposing a number, the sign changes.
3x = 252 - 25
3x = 227
Divide both sides by 3 in order to determine the value of x.
3x/3 = 227/3
x = 75.67
Since we cannot have a decimal answer, then we need to assume the whole number.
x = 75
Final answer:
75 tickets were ordered.