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Sunny_sXe [5.5K]
3 years ago
7

The high school leadership team is having a car wash. They charge $5.50 for large cars and $4.00 for small cars . They had a suc

cessful day, washed a total of 142 cars, and made $652.50. How many large cars and small cars did they wash?
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
3 0

Answer: 56 large cars and 86 small cars.

Step-by-step explanation:

Let's call:

l: the number of large cars.

s: the number of small cars.

Then, you can set up the following system of equations:

\left \{ {{l+s=142} \atop {5.50l+4.0s=652.50}} \right.

You can use the Elimination Method:

- Multiply the first equation by -4.0

- Add both equations.

- Solve for l.

\left \{ {{-4.0l-4.0s=-568} \atop {5.50l+4.0s=652.50}} \right.\\--------\\1.5l=84.5

l≈56

Substitute l=56 into one of the original equations and solve for <em>s:</em>

<em> </em>56+s=142\\s=142-56\\s=86

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