Brian, Tim and Kenny got paid a total of $240 for mowing neighborhood lawns. They split the money in the ratio of 5: 9: 10. A) How much less did Brian make than Tim?

Respuesta :

Answer:

The answer to your question is $40

Step-by-step explanation:

Data

Total payment = $240

Proportions   Brian: Tim: Kenny   5:9:10

Process

1.- Sum the proportions

           5 + 9 + 10 = 24

2.- Divide the total payment by the previous result

                  240 / 24 = 10

3.- Determine the money that every neighbor earn

   Brian = 10 x 5 = 50

   Tim = 9 x 10 = 90

   Kenny = 10 x 10 = 100

4.- Determine how much less did Brian make than Tim.

         90 - 50 = 40

5.- Conclusion

  Brian made $40 less than Brian

Brian makes less than Tim is $40.

Ratio and proportion

A ratio is an ordered pair of numbers a and b, written as a/b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given

Brian, Tim, and Kenny got paid a total of $240.

They split the money in the ratio of 5: 9: 10.

To find

How much less did Brian make than Tim?

How do get it?

Let 5x, 9x, and 10x be Brian, Tim, and Kenny of constant x.

Total is $240

then

5x + 9x + 10x = 240

              24x = 240

                   x = 10

Then they split the money as 50, 90, and 100.

Brian make less than tim that is 90 - 50 = 40

Thus, Brian make less than tim is $40.

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