Question

Trudy's Trinkets is having its annual summer sale, when every item in the store gets marked down. During the sale, charm bracelets sell for $5 less than full price. Kimi purchases 3 identical charm bracelets: one for each of her friends. She pays a total of $36. How much does each charm bracelet cost at full price?

Answer 1

Let the full price of each charm bracelet be denoted as \( p \). During the sale, each charm bracelet is sold for $5 less than the full price, so the sale price of each charm bracelet is:

\[
p - 5
\]

Kimi purchases 3 charm bracelets at this sale price, and her total payment is $36. Therefore, we can write the equation:

\[
3(p - 5) = 36
\]

To solve for \( p \), first divide both sides of the equation by 3:

\[
p - 5 = 12
\]

Next, add 5 to both sides:

\[
p = 12 + 5
\]

\[
p = 17
\]

Thus, the full price of each charm bracelet is:

\[
\boxed{17}
\]

To verify, we can check the sale price and the total Kimi paid:

- Sale price of each bracelet is:

\[
p - 5 = 17 - 5 = 12
\]

- Total cost for 3 bracelets:

\[
3 \times 12 = 36
\]

The calculations confirm that the full price of each charm bracelet is indeed \( \boxed{17} \).