Clara wants to bike 112 miles this week. That is 20 miles less than 2 times the number of miles she biked last week. How many miles did she bike last week?
46
66
132
264
Let's say the number of miles Clara biked last week is x.
This week, Clara wants to bike 2*x - 20 miles.
Since she wants to bike 112 miles this week, we can write the equation 2*x - 20 = 112.
Adding 20 to both sides of the equation, we have 2*x = 132.
Dividing both sides of the equation by 2, we get x = 132/2 = 66 miles.
Therefore, Clara biked 66 miles last week. Answer: \boxed{66}.
To find out how many miles Clara biked last week, we'll need to solve the equation. Let's start by setting up the equation based on the given information:
112 = 2x - 20
In this equation, 'x' represents the number of miles she biked last week. We need to solve for 'x', so let's start by isolating it on one side of the equation.
First, let's add 20 to both sides of the equation:
112 + 20 = 2x
This simplifies to:
132 = 2x
Now, we can solve for 'x' by dividing both sides of the equation by 2:
132 / 2 = x
This simplifies to:
66 = x
Therefore, Clara biked 66 miles last week.
So, the correct answer is 66.
Let's work through this step-by-step.
Let's assume the number of miles Clara biked last week is "x".
According to the problem, 112 miles is 20 miles less than 2 times the number of miles she biked last week.
So, we can set up the equation: 112 = 2x - 20.
To solve for "x", let's isolate the variable.
Adding 20 on both sides of the equation, we get: 112 + 20 = 2x.
Simplifying: 132 = 2x.
Finally, divide both sides of the equation by 2 to solve for x: 132 ÷ 2 = 2x ÷ 2.
This gives us: 66 = x.
Therefore, Clara biked 66 miles last week.