Sophia wrote an equation to represent the revenue of a movie theater for one day. She let x represent the number of child tickets sold and y represent the number of adult tickets sold. If a child ticket costs 4 dollars , an adult ticket costs 6 dollars , and the total revenue for the day was 420 dollars , which equation could Sophia use to represent the number of child and adult tickets that were sold?
Answer
A
6 x plus 4 y is equal to 420
B
6 x plus 4 y is equal to 840
C
4 x plus 6 y is equal to 420
D
4 x plus 6 y is equal to 840
Explanation
Each child ticket brings in $4, so x child tickets bring in 4x dollars. Each adult ticket brings in $6, so y adult tickets bring in 6y dollars. Together, the revenue is 4x + 6y, which must equal $420; therefore, the equation is 4x + 6y = 420, choice C.
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