Solve for c.

2/5c + 5 = 95

1 answer

To solve the equation \( \frac{2}{5}c + 5 = 95 \), follow these steps:

  1. Subtract 5 from both sides of the equation: \[ \frac{2}{5}c + 5 - 5 = 95 - 5 \] Simplifying gives: \[ \frac{2}{5}c = 90 \]

  2. Now, to isolate \( c \), multiply both sides of the equation by the reciprocal of \( \frac{2}{5} \), which is \( \frac{5}{2} \): \[ c = 90 \times \frac{5}{2} \]

  3. Calculate \( 90 \times \frac{5}{2} \): \[ c = \frac{90 \times 5}{2} = \frac{450}{2} = 225 \]

Thus, the solution is: \[ c = 225 \]

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