Dania1969
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Steve and his three friends Amy, Barb, and Colin took a road trip to the beach for Spring Break. Amy drove 3/7 of the way, and Barb and Colin each drove 1/5 of the way. Steve drove the final 24 miles to their destination. How many miles did Barb drive? Please show your work for full credit.

Respuesta :

jcherry99

Answer:

Barb = 28 miles

Step-by-step explanation:

Givens

Let the whole distance = x

Amy = 3/7  x

Barb = 1/5 x

Colin = 1/5 x

Steve = 24

Equation

3/7 x + 1/5x + 1/5x + 24 = x

Solution

Find the fractional amount

3/7 + 1/5 + 1/5             <======

15/35 + 7/35 + 7/35   <======

29/35 x + 24 = x        <======

24 = x  -   29/35 x      <======

24 = 6 / 35 x              <======

24 * 35 = 6x               <======

840 = 6x                    <======

140  = x

Barb = 1/5 x = 1/5 * 140 = 28 miles

Amy = 3/7 x = 3/7 * 140 = 60 miles

Colin                                  28

Steve                                 24

Total                                140

Answer:

He drove 140 miles

Explaination:

!!

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