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Joe and Marty work for two different landscaping companies. Joe earns a base amount of $15 and $8 per lawn. Marty earns a base amount of $45 and $6 per lawn. Last week, they earned the same amount of money. How many lawns did they each mow?

Sagot :

Answer:

I belive Joe mowed 51 lawns and Marty mowed 23.

Step-by-step explanation:

Joe and Marty each mowed a total number of 15 lawns last week and they earned the same amount of money.

What is a linear equation?

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

Joe earns a base amount of $15 and $8 per lawn.

Marty earns a base amount of $45 and $6 per lawn.

Let's suppose they both mow x number of lawns.

Then Joe's total income is given by:

$(15+8x)

And Marty's total income is given by:

$(45+6x)

As they earned the same amount of money, mathematically:

(15+8x) = (45+6x)

15 + 8x - 6x = 45 +6x - 6x   (subtract by 6x on both sides)

15 + 2x -15 = 45 -15              (subtract by 15 on both sides)

2x = 30

x = 15    (divide by 2 on both sides)

If we put x = 15 in Joe's total income expression, we get:

15+8×15 ⇒135

If we put x = 15 in Marty's total income expression, we get:

45+6×15 ⇒135

Thus, Joe and Marty each mowed a total number of 15 lawns last week and they earned the same amount of money.

Learn more about the linear equation here:

brainly.com/question/11897796

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