Question

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.

Answer 1

He drove 140 miles

Explaination:

!!

Answer 2

Barb = 28 miles

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