Question

Terrance buys 6 bottles of sports drink. he has coupons for $0.55 off the regular price of each bottle. after using the coupons, the total cost of the sports drinks is $4.44.

Part A - which equation can be used to find the regular price *P* of a bottle of sports drink?
A - 6(p+0.55)=4.44
B - 6(p-0.55)=4.44

Part B - what is the regular price per bottle of sports drink?

Answer 1

To solve this problem, let's break it down into parts.

**Part A: Finding the correct equation**

Terrance buys 6 bottles of sports drink at a regular price of \( P \) each. After using a coupon that gives him $0.55 off each bottle, the price he pays per bottle after the coupon is \( P - 0.55 \).

Therefore, the equation for the total cost after using the coupons can be written as:

\[
\text{Total cost} = \text{Number of bottles} \times \text{Price per bottle after coupon}
\]
\[
4.44 = 6(P - 0.55)
\]

This means the correct choice for the equation is:

**B - \( 6(P - 0.55) = 4.44 \)**

**Part B: Finding the regular price per bottle**

Now, let's solve for \( P \):

1. Start with the equation from Part A:
\[
6(P - 0.55) = 4.44
\]

2. Divide both sides by 6 to isolate the term with \( P \):
\[
P - 0.55 = \frac{4.44}{6}
\]
\[
P - 0.55 = 0.74
\]

3. Add 0.55 to both sides to solve for \( P \):
\[
P = 0.74 + 0.55
\]
\[
P = 1.29
\]

Thus, the regular price per bottle of sports drink is **$1.29**.