To determine the cost of the bathing suit, let's analyze the given information step-by-step:
1. Define Variables:
- Let [tex]\( s \)[/tex] represent the cost of the shorts in dollars.
2. Express Other Costs in Terms of [tex]\( s \)[/tex]:
- The cost of the bathing suit is [tex]$8 more than the cost of the shorts, so it can be expressed as \( s + 8 \).
- The cost of the T-shirt is $[/tex]2 less than the cost of the shorts, so it can be expressed as [tex]\( s - 2 \)[/tex].
3. Set Up the Total Cost Equation:
- According to the problem, the total amount spent on the shorts, the bathing suit, and the T-shirt is [tex]$60.
- Therefore, we can write the equation:
\[
s + (s + 8) + (s - 2) = 60
\]
4. Combine Like Terms:
- Combine the \( s \) terms and the constants on the left side of the equation:
\[
s + s + s + 8 - 2 = 60
\]
\[
3s + 6 = 60
\]
5. Solve for \( s \):
- Subtract 6 from both sides of the equation to isolate the terms with \( s \):
\[
3s = 54
\]
- Divide both sides by 3 to solve for \( s \):
\[
s = 18
\]
6. Find the Cost of the Bathing Suit:
- Using the value of \( s \) (the cost of the shorts), the cost of the bathing suit is:
\[
s + 8 = 18 + 8 = 26
\]
Therefore, the cost of the bathing suit is $[/tex]26.
