sat-dog

← Back to browse

Easy Math · Algebra · Systems of two linear equations in two variables · MCQ

Hiro and Sofia purchased shirts and pants from a store. The price of each shirt purchased was the same and the price of each pair of pants purchased was the same. Hiro purchased 4 shirts and 2 pairs of pants for $86, and Sofia purchased 3 shirts and 5 pairs of pants for $166. Which of the following systems of linear equations represents the situation, if x represents the price, in dollars, of each shirt and y represents the price, in dollars, of each pair of pants?

  1. A

    4 x plus 2 y, equals 86, 
and, 
3 x plus 5 y, equals 166

  2. B

    4 x plus 3 y, equals 86, 
and, 
2 x plus 5 y, equals 166

  3. C

    4 x plus 2 y, equals 166, 
and, 
3 x plus 5 y, equals 86

  4. D

    4 x plus 3 y, equals 166, 
and, 
2 x plus 5 y, equals 86

Source: SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank. View the official question bank →

SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.

id cb_question_bank:0bcd05a7-46db-4786-891d-1566e2ebe64b · question b86123af · IBN 08086-DC · JSON