Subject Test Math 1

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Subject Test Math 1

Question 5 of 32

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Tickets for a show cost $$ 3$ or $$ 5$ . If $50$ tickets were sold for a total of $$ 230$ , how many tickets were sold for $$ 3$ ?

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$10$

Correct Answer:

Yes

$20$

Correct Answer:

No

$25$

Correct Answer:

No

$30$

Correct Answer:

No

$40$

Correct Answer:

No

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One way to solve this problem is to set up an equation using one variable. Let $n$ represent the number of $$ 3$ tickets sold; then $50 - n$ represents the number of $$ 5$ tickets sold.

$3 n + 5 (50 - n) = 230$

$3 n + 250 - 5 n = 230$

$20 = 2 n$

$10 = n$

There were $10$ $$ 3$ tickets sold.

Simultaneous equations can also be set up to solve the problem. Let $n$ represent the number of $$ 3$ tickets sold and $p$ represent the number of $$ 5$ tickets sold.

$n + p = 50$
$3 n + 5 p = 230$

Another way to solve this problem is to realize that each of the tickets costs at least $$ 3$ . At $$ 3$ each, a total of $$ 150$ would be collected from selling all $50$ of the tickets. Since the remaining $$ 80$ was the extra $$ 2$ collected from each of the $$ 5$ tickets, $40$ of the $$ 5$ tickets were sold. This implies that $10$ of the $$ 3$ tickets were sold.

Question Difficulty:

medium

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Subject Test Math 1

Question 5 of 32

Learn more about plans to discontinue SAT Subject Tests

Select an Answer

View Correct Answer