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A total of 706 tickets were sold for the school play. They were either adult tickets or student tickets. There were 56 more student tickets sold than adult tickets.

How many adult tickets were sold?

User Ivan Durst
by
5.1k points

1 Answer

1 vote

325 adult tickets were sold

Solution:

Let "a" be the number of adult tickets sold

Let "s" be the number of student tickets sold

Given that total 706 tickets were sold for the school play

Therefore,

number of adult tickets sold + number of student tickets sold = 706

a + s = 706 --------- eqn 1

There were 56 more student tickets sold than adult tickets

Number of student tickets sold = 56 + number of adult tickets sold

s = 56 + a ------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

a + 56 + a = 706

2a + 56 = 706

2a = 706 - 56

2a = 650

a = 325

Thus 325 adult tickets were sold

User Roger Gustavsson
by
5.4k points
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