monicas school band held a car wash to raise money for a trip to a parade in new york city. after washing…
monicas school band held a car wash to raise money for a trip to a parade in new york city. after washing 125 cars, they made $775 from a combination of $5.00 quick washes and $8.00 premium washes. this system of equations models the situation. $x + y = 125$ $5x + 8y = 775$ solve the system to answer the questions. how many premium car washes were ordered? premium car washes how many quick car washes were ordered? quick car washes
Answer
Explanation:
Step1: Solve the first - equation for x
$x = 125 - y$
Step2: Substitute x into the second - equation
$5(125 - y)+8y = 775$ Expand the left - hand side: $625-5y + 8y=775$ Combine like terms: $625 + 3y=775$ Subtract 625 from both sides: $3y=775 - 625$ $3y = 150$ Divide both sides by 3: $y=\frac{150}{3}=50$
Step3: Find the value of x
Substitute y = 50 into $x = 125 - y$ $x=125 - 50=75$
Answer:
50 premium car washes 75 quick car washes