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alexdok [17]
3 years ago
9

The school that Stefan goes to is selling tickets to a choral performance on the first day of ticket sales the school sold three

senior citizen tickets and one child ticket for a total of $38 the school took and $52 on the second day by selling three senior citizen tickets and two child tickets find the price of senior citizen ticket
Mathematics
1 answer:
Serggg [28]3 years ago
7 0

The price of 1 senior citizen ticket is $ 8

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

Let "x" be the price of 1 senior citizen ticket

Let "y" be the price of 1 child ticket

<em><u>The school sold three senior citizen tickets and one child ticket for a total of $38</u></em>

Therefore, we frame a equation as:

three senior citizen tickets x price of 1 senior citizen ticket + one child ticket x price of 1 child ticket = 38

3 \times x + 1 \times y = 38

3x + y = 38 --------- eqn 1

<em><u>The school took an $52 on the second day by selling three senior citizen tickets and two child tickets</u></em>

Therefore, we frame a equation as:

three senior citizen tickets x price of 1 senior citizen ticket + two child ticket x price of 1 child ticket = 52

3 \times x + 2 \times y = 52

3x + 2y = 52 ---------- eqn 2

<em><u>Solve eqn 1 and eqn 2</u></em>

<em><u>Subtract eqn 1 from eqn 2</u></em>

3x + 2y - 3x - y = 52 - 38

<h3>y = 14</h3>

<em><u>Substitute y = 14 in eqn 1</u></em>

3x + y = 38

3x + 14 = 38

3x = 24

<h3>x = 8</h3>

Thus the price of 1 senior citizen ticket is $ 8

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