Question

zak buys 6 gallons of fruit punch. he has coupons for $0.55 off the regular price of each gallon of fruit punch. After using the coupons, the total cost of the fruit punch is $8.70. determine the regular price of a gallon of fruit punch.

Answer 1

Let's denote the regular price of a gallon of fruit punch as \( P \).

Zak buys 6 gallons of fruit punch. The total regular price for 6 gallons would be:

\[
6P
\]

Since he has coupons for $0.55 off each gallon, the discount for 6 gallons would be:

\[
6 \times 0.55 = 3.30
\]

This means the total cost after the discount is:

\[
6P - 3.30
\]

According to the problem, the total cost after using the coupons is $8.70. So we can set up the equation:

\[
6P - 3.30 = 8.70
\]

Now, we can solve for \( P \). First, add 3.30 to both sides:

\[
6P = 8.70 + 3.30
\]

\[
6P = 12.00
\]

Next, divide both sides by 6 to find \( P \):

\[
P = \frac{12.00}{6} = 2.00
\]

Therefore, the regular price of a gallon of fruit punch is:

\[
\boxed{2.00}
\]