10
QuizMultiple Choice

Problem Solving with Systems — Quiz

Question 10 • Mathematics 8

Shenika is selling magazine subscriptions for the animal shelter. A yearly subscription to a story magazine is 12 point 5 0 dollars A yearly subscription to a puzzle magazine is 14 dollars She raised a total of 1 dollars comma 225 for the animal shelter. The number of subscriptions to the story magazine, s , is 20 more than twice the number of subscriptions to the puzzle magazine, p Which system of equations finds the number of each magazine sold?

Answer
A
14 s plus 12 point 5 0 p is equal to 1 comma 225 p is equal to 2 s plus 20
B
12 point 5 0 s plus 14 p is equal to 1 comma 225 p is equal to 2 s plus 20
C
14 s plus 12 point 5 0 p is equal to 1 comma 225 s is equal to 2 p plus 20
D
12 point 5 0 s plus 14 p is equal to 1 comma 225 s is equal to 2 p plus 20

Explanation

The total money equation is 12.50s + 14p = 1,225, because each story subscription costs $12.50 and each puzzle subscription costs $14. The statement that the number of story subscriptions is 20 more than twice the number of puzzle subscriptions translates to s = 2p + 20. Together, these equations are choice D.

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