A company sells cardboard that is nine and one-eighth millimeters thick. Write an equation to solve for the number of sheets of cardboard, c, in a pile that is two hundred fifty-five and one-half millimeters thick. What must be done to both sides to solve the equation?
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A company sells cardboard that is 9 1/8 mm thick. Write an equation to solve for the number of sheets of cardboard, c, in a pile that is 255 1/2 mm thick. What must be done to both sides to solve the equation?
To solve for the number of sheets of cardboard, c, in a pile that is two hundred fifty-five and one-half millimeters thick, we can set up the equation as follows:
c * (9 and 1/8) = 255 and 1/2
First, let's convert the mixed numbers to improper fractions:
c * (73/8) = 511/2
To solve this equation, we need to isolate the variable c. To do that, we can perform the inverse operation on both sides of the equation.
The inverse operation for multiplication is division. So, to isolate c, we divide both sides of the equation by (73/8):
c * (73/8) / (73/8) = (511/2) / (73/8)
Simplifying,
c = (511/2) * (8/73)
c = 7
Therefore, the number of sheets of cardboard in the pile is 7.
To solve the equation, we divide both sides of the equation by (73/8).