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)
Responses
46 miles
132 miles
264 miles
66 miles
Let x be the number of miles Clara biked last week.
We know that 2x - 20 = 112.
Adding 20 to both sides, we get 2x = 132.
Dividing both sides by 2, we get x = 66.
Clara biked 66 miles last week. Answer: \boxed{66}.
Let's set up an equation to solve this problem.
Let "x" be the number of miles Clara biked last week.
According to the problem, we know that 112 miles is 20 miles less than 2 times the number of miles she biked last week.
So, we can express this information in an equation:
112 = 2x - 20
To solve for x, let's isolate the variable:
112 + 20 = 2x
132 = 2x
Divide both sides of the equation by 2:
x = 132/2
x = 66
Therefore, Clara biked 66 miles last week.
To find the number of miles Clara biked last week, we need to solve the equation provided:
Let x be the number of miles she biked last week.
According to the information given, the equation can be written as:
112 = 2x - 20
To solve this equation, we will isolate x:
Add 20 to both sides of the equation:
112 + 20 = 2x - 20 + 20
132 = 2x
Divide both sides of the equation by 2:
132 / 2 = 2x / 2
66 = x
Therefore, Clara biked 66 miles last week.