Back to Solve real-world and mathematical problems leading to two linear equations in two variables — Problem 1 · Task Set 13

Exercises: Solving Real-World and Mathematical Problems with Systems of Linear Equations

Work through each section in order. For word problems, define your variables, write two equations, solve, and interpret your answer in a full sentence. Show your work where indicated.

Grade 8·22 problems·~30 min·Common Core Math - Grade 8·standard·8-ee-c-8c

Work through problems with immediate feedback

Fluency Practice

A concert sold $a$ adult tickets and $s$ student tickets. There were $90$ tickets sold in all, and adult tickets cost $\text{\char"0024}12$ while student tickets cost $\text{\char"0024}7$ , for total sales of $\text{\char"0024}880$ . Which system represents this situation?

$a + s = 90$ and $12a + 7s = 880$

$a + s = 880$ and $12a + 7s = 90$

$12a + 7s = 90$ and $a + s = 880$

$a + s = 90$ and $19(a + s) = 880$