Five road bikes and four mountain bikes will cost you $6,400. One of each will cost you $1,400. What does a road bike cost?

1 Answer
Mar 14, 2017

Road bike costs: $800

Explanation:

Road bikes: x
Mountain bikes: y

5x+4y=6400
x+y=1400

We have a System of Equations problem here, so we will solve along those lines.

Isolating variable x in the second equation, we get
x=1400-y which we can replace for x in the first equation...
\therefore5(1400-y)+4y=6400

Now, solving for y...
7000-5y+4y=6400
7000-y=6400
y=7000-6400
y=600

We have y, now plug that in to solve for x...
x=1400-y
x=1400-600=800


x=800,y=600
A road bike costs $800 and a mountain bike costs $600.