Question

Braden wants to buy two pairs of the new ShockTide sneakers in different colors. At Vic's Sneaks, he can get 25% off one pair if he buys the other pair at full price. Alternatively, he can use a coupon for $20 off if he buys two pairs at full price. After considering his options, Braden realizes he would pay the same total amount for either option. Which equation can you use to find p, the full price of one pair of ShockTide sneakers?

Answer 1

To find the equation that represents the full price of one pair of ShockTide sneakers, let's break down the given information. Option 1: 25% off one pair if he buys the other pair at full price Option 2: $20 off if he buys two pairs at full price For both options, Braden realizes that he would pay the same total amount. Let's assume the full price of one pair of sneakers is 'p'. In Option 1: The price of one pair at full price would be 'p'. The price of the other pair after a 25% discount would be 0.75p (since Braden gets 25% off). So, the total amount Braden would pay in Option 1 is p + 0.75p = 1.75p. In Option 2: If Braden buys two pairs at full price, he gets a $20 discount. So, the total amount Braden would pay in Option 2 is 2p - $20. Since both options result in the same total amount, we can set up an equation: 1.75p = 2p - $20 Simplifying the equation: 1.75p - 2p = - $20 -0.25p = - $20 To find 'p', the full price of one pair of ShockTide sneakers, we need to isolate 'p' on one side of the equation. We can do this by dividing both sides of the equation by -0.25: (-0.25p) / (-0.25) = (-$20) / (-0.25) Simplifying further: p = $80 Therefore, the full price of one pair of ShockTide sneakers is $80.

Have a great day

Answer 2

• $80

Task :

• To create a function out of the information given and find out the value of each pair of sneakers,'p'.

Solution :

Let one pair of sneakers be ,'p'.

Then,

• p + p - 0.25p = 2p -$20
• 2p - 0.25p = 2p - $20
• 0.25p = $20
• p = $20/0.25
• p = $80

Thus, the cost of each pair of sneakers would be equal to $80.

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