SAT question 44d65912 (Systems of Linear Equations)

Question

Angela is playing a video game. In this game, players can score points only by collecting coins and stars. Each coin is worth $c$ points, and each star is worth $s$ points. The first time she played, Angela scored $700$ points. She collected $20$ coins and $10$ stars. The second time she played, Angela scored $850$ points. She collected $25$ coins and $12$ stars.

Which system of equations can be used to correctly determine the values of $c$ and $s$ ?

College Board · Accepted Answer

The correct answer is B. Choice B is correct. The number of coins collected can be multiplied by c to give the score from the points earned from coins. Similarly, the number of stars collected can be multiplied by s to give the score from the points earned from the stars. Therefore, the total score the first time Angela played is 20c + 10s = 700 , and the total score the second time she played is 25c + 12s = 850 .

CookSAT · Answer

Note: Treat x as the coin value and y as the star value; the red and blue equations match choice B.

Explanation

Enter in Desmos:

Why the other choices are wrong

SAT Question 44d65912: Systems of Linear Equations answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong