Ms.lopez drive 50 miles in march.she drive 10 times as many miles in March as she did in january.she drive 5 times as many miles in February as she did in january.how many miles did ms.lopez drive in February?
Let's denote the number of miles Ms. Lopez drove in January as "x".
According to the information provided, she drove 10 times as many miles in March as she did in January, so she drove 10x miles in March.
She also drove 5 times as many miles in February as she did in January, so she drove 5x miles in February.
Given that Ms. Lopez drove a total of 50 miles in March, we can set up an equation:
x + 5x + 10x = 50
Combining like terms, we get:
16x = 50
Solving for x, we have:
x = 50/16
x = 3.125
Therefore, Ms. Lopez drove 5x = 5 * 3.125 = <<5*3.125=15.625>>15.625 miles in February.