Answer :
To solve the equation [tex]4(f + 3) = 62[/tex] for [tex]f[/tex], which represents the price of food for each person, follow these steps:
Distribute the 4 across the terms in the parentheses.
When you distribute, you multiply 4 by each term inside the parentheses:
[tex]4(f + 3) = 4 \times f + 4 \times 3[/tex]
This simplifies to:
[tex]4f + 12 = 62[/tex]
Isolate the term containing [tex]f[/tex].
To isolate [tex]4f[/tex], subtract 12 from both sides of the equation:
[tex]4f + 12 - 12 = 62 - 12[/tex]
This simplifies to:
[tex]4f = 50[/tex]
Solve for [tex]f[/tex].
To find [tex]f[/tex], divide both sides of the equation by 4:
[tex]\frac{4f}{4} = \frac{50}{4}[/tex]
This simplifies to:
[tex]f = 12.5[/tex]
Therefore, the price of food for each person is [tex]f = 12.5[/tex].
