Question

Solve for a,a.
76, equals, start fraction, 4, divided by, 5, end fraction, a, plus, 16
76=
5
4
​
a+16

Answer 1

To solve the equation

\[
76 = \frac{4}{5}a + 16,
\]

follow these steps:

1. **Isolate the term with \(a\)**: Subtract 16 from both sides of the equation.

\[
76 - 16 = \frac{4}{5}a
\]

\[
60 = \frac{4}{5}a
\]

2. **Clear the fraction**: Multiply both sides by \(\frac{5}{4}\) to solve for \(a\).

\[
a = 60 \cdot \frac{5}{4}
\]

3. **Calculate the multiplication**:

\[
a = 60 \cdot 1.25 = 75
\]

Thus, the solution is

\[
a = 75.
\]