Question

Define a variable. Write and solve each equation.

9. Anna wants to take horseback riding lessons.
She is given $200 for her birthday to cover the
cost. She has to pay $20 for grooming supplies.
If the lessons are $30 an hour, how many lessons
can Anna take?

Answer 1

The answer is x = 6

Let us first define x to be the number of hours of riding lessons she can take.

X = Hours of lessons

Now, she has $200, she needs to pay $20 for grooming supplies, and the lessons cost $30 an hour. We to find the maximum amount of hours of lessons she can take, so in other words, we want to make her broke. To do this, we first convert the words into an equation:

200 - 20 - 30x = 0

Simplifying, we get

180 = 30x

x=6