# If a riding mower costs $300 more than a self-propelled mower and the combined cost of the two mowers is $1100, what is the cost of each mower?

##### 2 Answers

The riding mower is $700 and the self-propelled mower is $400.

#### Explanation:

Because the riding mower is $300 more, the x in your equation will be the cost of the self-propelled mower.

riding mower= x+300

self-propelled mower= x

total cost= 1100

The equation is then built as the following based on the above.

1100=x+(x+300)

There are no coefficients involved based on the given information that there are only two mowers.

Then we solve:

1100=2x+300

1100-300=2+300-300

800=2x

Divide both sides by 2

400=x

So, the riding mower is $700 and the self-propelled mower is $400.

The self-propelled mower costs

#### Explanation:

Let

Simplify.

Subtract

Divide both sides by

The self-propelled mower costs