Blue Tide Swim Shop is having its annual summer sale, when every item in the store gets marked down. During the sale, rashguards sell of $5 less than full price. Miguel purchases 3 rashguards and pays a total of $60.

Question

Which equation can you use to find how much money, f, each rashguard costs at full price?
Responses
5f-3=60
5(f-3)=60
3(f-5)=60
3f-5=60

Answer 1

To find the equation that can be used to determine the full price \( f \) of each rashguard, we start by understanding the problem.

Let the full price of each rashguard be \( f \). During the sale, each rashguard is marked down by $5, so the sale price of each rashguard becomes \( f - 5 \).

Miguel purchases 3 rashguards at the sale price, and he pays a total of $60. This gives us the equation:

\[ 3(f - 5) = 60 \]

Now let's simplify this to check if one of the provided options matches.

Expanding the equation: \[ 3f - 15 = 60 \]

This matches the structure; however, we need to match it with the given response options more closely to their respective formats.

The correct equation that relates to the price of the rashguards is:

\[ \text{Option: } 3(f - 5) = 60 \]

Referring to the choices provided, the option that correctly expresses this situation with respect to \( f \) is:

\[ 3(f - 5) = 60 \]

Given the options, this can be further simplified to:

\[ 3f - 15 = 60 \]

Thus, the response choice that fits is:

3(f - 5) = 60.

Answer 2

how much does each rashguard cost at full price?

Answer 3

To find the full price \( f \) of each rashguard, we start with the equation we derived earlier:

\[ 3(f - 5) = 60 \]

Now let's solve for \( f \):

1. Distribute the 3: \[ 3f - 15 = 60 \]

2. Add 15 to both sides: \[ 3f = 60 + 15 \] \[ 3f = 75 \]

3. Divide both sides by 3: \[ f = \frac{75}{3} \] \[ f = 25 \]

So, the full price of each rashguard is $25.