A small theater sold 72 tickets for a play. The ratio of adult tickets to child tickets was \( 4: 1 \). The ratio of adult tickets to senior tickets was \( 4: 3 \). How many adult tickets were sold?
36
27
18
9

Answer

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Answer

Divide 4x by 4 to find the number of adult tickets

Steps

Step 1 ：Let the number of adult tickets be 4x, child tickets be x, senior tickets be 3y

Step 2 ：4x + x + 3y = 72

Step 3 ：Since the ratio of adult to senior tickets is 4:3, 4x = 3y

Step 4 ：Substitute the value of 4x from the third equation into the second equation and solve for x

Step 5 ：Divide 4x by 4 to find the number of adult tickets