Solve for c.

2 over 5(c) + 5 = 95

1 answer

To solve for c, we will isolate the variable by performing the following steps:

1. Subtract 5 from both sides of the equation:
2/5(c) = 95 - 5

2. Simplify the right side of the equation:
2/5(c) = 90

3. Multiply both sides of the equation by 5/2 (the reciprocal of 2/5) to cancel out the fraction on the left side:
(5/2)(2/5)(c) = (5/2)(90)

On the left side, the 2/5 and 5/2 fractions cancel each other out, leaving only c:

c = (5/2)(90)

4. Multiply the fractions on the right side:
c = (5/2) * (90/1)

5. Simplify the right side:
c = (5 * 90) / 2

c = 450 / 2

c = 225

The value of c is 225.