Find the number of nonunion members in a company with 135 employees, where the ratio of union to nonunion members is 2:3. Solution: Let the number of union members be 2x and the number of nonunion members be 3x, where x is a constant. The total number of employees is 2x+3x=135, so x=15. Therefore, the number of nonunion members is 3x=3×15=45.
Write an equation for the total number of science quizzes, y, based on the number of weeks, x, given that Leon had 4 quizzes initially and expects 1 quiz per week.
y=4+x
A music teacher needs to buy guitar strings. At Store A, 1 pack costs $6. At Store B, a bundle of 4 packs costs $20. Represent the income for each store when buying 1−20 packs. Describe the graph shapes and explain the differences. Compare the graphs to determine when it's cheaper to buy from Store B.
In a contest, correct answers earn 12 points and incorrect answers lose 5 points. School A starts with 165 points and School B with 65 points. The game ends in a tie. What is the number of correct answers for each school? Part A: The correct equation is (D) 12x−5x−165=12x+65.
Part B: The number of correct answers for each school is x.