Solve for a,a.

76, equals, start fraction, 4, divided by, 5, end fraction, a, plus, 16
76=
5
4

a+16

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
5 hours ago

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.

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

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

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

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

  1. Calculate the multiplication:

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

Thus, the solution is

\[ a = 75. \]