Question

Mrs. James buys 5 hat and glove sets for charity. she has coupons for $1.50 off the regular price of each set. After using the coupons the total cost is $48.75. determine the regular price of a hat and glove set.


Item | Cost
hot and glove set | P
Scarf | 9.99

Answer 1

Let \( P \) be the regular price of one hat and glove set. Since Mrs. James buys 5 sets, the total regular price before the coupon is applied would be:

\[
5P
\]

Each set has a coupon of $1.50 off, so the total discount for 5 sets would be:

\[
5 \times 1.50 = 7.50
\]

After applying the coupons, the total cost Mrs. James pays is:

\[
5P - 7.50 = 48.75
\]

Now, we can set up the equation:

\[
5P - 7.50 = 48.75
\]

Adding 7.50 to both sides gives:

\[
5P = 48.75 + 7.50
\]
\[
5P = 56.25
\]

Next, we solve for \( P \) by dividing both sides by 5:

\[
P = \frac{56.25}{5}
\]
\[
P = 11.25
\]

Thus, the regular price of a hat and glove set is **$11.25**.