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A total of 444 tickets were sold for a school play. They were either adult tickets or student tickets. There were 56 fewer student tickets sold than adult tickets. How many adult tickets were sold?

User Mravey
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1 Answer

4 votes

Answer:

250 adult tickets

Explanation:

s = number of student tickets

a = number of adult tickets

s = a - 56 ==> 56 fewer student tickets sold than adult tickets

s + a = 444 ==> 444 total tickets were sold

(a - 56) + a = 444 ==> plug in a - 56 for s to solve for one variable

a - 56 + a = 444

a + a - 56 = 444 ==> combine like terms

2a - 56 = 444

2a = 500 ==> add 56 on both sides

a = 250 adult tickets

s:

s + a = 444

s + 250 = 444 ==> plug in 250 for a

s = 194 student tickets sold

a - s = 56

250 - 194 = 56 √

Hence, the difference between the number of student and adult tickets is 56.

User Udayakumar Rayala
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