SAT question dba8d38a (Systems of Linear Equations)

Question

A petting zoo sells two types of tickets. The standard ticket, for admission only, costs $ $5$ . The premium ticket, which includes admission and food to give to the animals, costs $ $12$ . One Saturday, the petting zoo sold a total of $250$ tickets and collected a total of $ $2, 300$ from ticket sales. Which of the following systems of equations can be used to find the number of standard tickets, $s$ , and premium tickets, $p$ , sold on that Saturday?

99

Difficulty:Easy

A

$s + p = 250$

$5 s + 12 p = 2, 300$

B

$s + p = 250$

$12 s + 5 p = 2, 300$

C

$5 s + 12 p = 250$

$s + p = 2, 300$

D

$12 s + 5 p = 250$

$s + p = 2, 300$

College Board · Accepted Answer

The correct answer is A. Choice A is correct. It's given that the petting zoo sells two types of tickets, standard and premium, and that s represents the number of standard tickets sold and p represents the number of premium tickets sold. It's also given that the petting zoo sold 250 tickets on one Saturday; thus, s + p = 250 . It's also given that each standard ticket costs $ 5 and each premium ticket costs $ 12 . Thus, the amount collected in ticket sales can be represented by 5 s for standard tickets and 12 p for premium tickets. On that Saturday the petting zoo collected a total of $ 2,300 from ticket sales; thus, 5 s + 12 p = 2,300 . These two equations are correctly represented in choice A.

CookSAT · Answer

Note: Standard tickets cost 5 and premium tickets cost 12, so the total-ticket and total-sales equations match choice A.

Explanation

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Why the other choices are wrong

SAT Question dba8d38a: Systems of Linear Equations answer and explanation with Desmos solution

Explanation

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Why the other choices are wrong