Question

Together a boat and outboard motor cost $1500 The boat cost five times as much as the outboard motor. What was the cost of each?

Answer 1

Let boat cost x and outboard motor cost y

Together they cost 1500, so we can write:

$x+y=1500$

THe boat is 5 TIMES ooutboard, so we can write:

$x=5y$

Substituting this into 1st equation, we can solve for y:

$\begin{gathered} x+y=1500 \\ 5y+y=1500 \\ 6y=1500 \\ y=250 \end{gathered}$

We know x is 5 times y, so

x = 5(250) = 1250

Boat costs $1250

Outboard Motor costs $250