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Solnce55 [7]
3 years ago
10

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

ent tickets sold than adult tickets.
How many adult tickets were sold?
Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0

325 adult tickets were sold

<em><u>Solution:</u></em>

Let "a" be the number of adult tickets sold

Let "s" be the number of student tickets sold

<em><u>Given that total 706 tickets were sold for the school play</u></em>

Therefore,

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

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

<em><u>There were 56 more student tickets sold than adult tickets</u></em>

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

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

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Substitute eqn 2 in eqn 1</u></em>

a + 56 + a = 706

2a + 56 = 706

2a = 706 - 56

2a = 650

a = 325

Thus 325 adult tickets were sold

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