At the movie theater, child admission is $6.70 and adult admission is $9.90. On Monday, 175 tickets were sold for a total sales of $1476.50.How many adult tickets were sold that day?
Let a be the number of adult tickets sold. Similarly, let c be the number of child tickets sold. Ultimately, we will have a system of equations since there are two unknowns. We know the total sales were 707.70: 6.10c + 9.20a = 707.70 We also know that a = 3c since there were 3 times as many adult tickets as children tickets. This is all we need. Substitute a=3c into the first equation. 6.10c + 9.20(3c) = 707.70
6.10c + 27.60c = 707.70 33.70c = 707.70 c = 21 <---- Answer Extra: Now let's say that they wanted to know how many adult tickets were sold. We would plug in c =21 into a =3c to find that 63 ADULT TICKETS were sold. Hope this helped!
