Question

Bob and Dan earned a total of $72
shoveling snow. If Bob earned 3 times as
much as Dan, how much did each boy
earn?

Answer 1

Answer:

see explanation

Step-by-step explanation:

If Dan earns $x then Bob earns $3x ( 3 times as much as Dan ), then

x + 3x = 72 , that is

4x = 72 ( divide both sides by 4 )

x = 18

Thus

Dan earns $18 and Bob earns 3 × $18 = $54

Answer 2

The earning of Bob will be 54 dollars and the earning of Dan will be 18 dollars.

What is the linear system?

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Let the earning by Bob be x and the earning by Dan be y.

Bob and Dan earned a total of $72 shoveling snow. Then the equation will be

x + y = 72 ...1

If Bob earned 3 times as much as Dan. Then the equation will be

x = 3y   ...2

Substitute the value of x in equation 1, then the equation will be

3y + y = 72

     4y = 72

       y = $18

Then the money earned by Bob will be

x = 3y

x = 3(18)

x = $54

Thus, the earning of Bob will be 54 dollars and the earning of Dan will be 18 dollars.

More about the linear system link is given below.

https://brainly.com/question/20379472

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