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2 years ago

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Monica’s 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

2 answers:

gavmur [86]2 years ago

5 0

The two equations are:

$x+y=125$ and

$5x+8y=775$

<em>Where, </em><em>x is the number of quick car washes</em><em> and </em><em>y is the number of premium car washes</em><em>.</em>

Multiplying the first equation by -5 we have:

$(-5)*[x+y=125]\\=-5x-5y=-625$

Now adding this to the second equation and then solving for y, we have:

$3y=150\\y=\frac{150}{3}\\y=50$

Now, taking y = 50 and putting it in any one of the original equations <em>(let's put in the first one)</em> will give us x.

$x+y=125\\x+50=125\\x=125-50\\x=75$

Hence, there was 50 premium car washes and 75 quick car washes.

ANSWER:

"How many premium car washes were ordered?" 50

"How many quick car washes were ordered?" 75

Sliva [168]2 years ago

3 0

Answer:

The answer is

Step-by-step explanation:

50 premium car washes

75 quick car washes

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