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?(1 point)

Question

Responses

46 miles
46 miles

132 miles
132 miles

264 miles
264 miles

66 miles
66 miles

Answer 1

Let's denote the number of miles Clara biked last week as \( x \).

According to the problem, 112 miles is 20 miles less than 2 times the number of miles she biked last week. This can be expressed with the equation:

\[ 112 = 2x - 20 \]

Now, we can solve for \( x \):

1. Add 20 to both sides of the equation:

\[ 112 + 20 = 2x \] \[ 132 = 2x \]

2. Now, divide both sides by 2:

\[ x = \frac{132}{2} \] \[ x = 66 \]

So, Clara biked 66 miles last week.

The correct answer is 66 miles.