Question

Cole is buying a pair of water skis that are on sale for 23 of the original price. After he uses a $25 gift card, the total cost before taxes is $115. What was the original price of the skis?



Solution
Let p= the original price of the skis. Let’s break down the words of this problem to help us write the equation:

Two thirds of the original price minus $25 gift card is $115 total
23 ⋅ p − 25 =115
So, our equation is:

23p−25=115

To solve, we first need to isolate the variable term by adding
to each side.

23p−25+25=115+25

23p=

To isolate the variable p, we need to get rid of the 23. Remember, to get rid of a fraction, we just multiply by the reciprocal, 32.

32⋅23p=140⋅32

Now, we simplify.

p=1401⋅32

p=4202=
210

The original price of the skis was $
.

Answer 1

Answer:

Step-by-step explanation:

Let the original price of the water skis be x

If the skie are on sale for 23 of the original price, then the current price of the ski will be 2/3x.

If skie uses a $25 gift card, the remaining cost will be 3x-25.

Since  the total cost before taxes is $115, then the equation needed to solve for x will be;

2/3x-25 = 115

add 25 to both sides

2/3x-25+25 = 115+25

2/3x = 140

multiply both sides by 3/2

2/3x * 3/2 = 140*3/2

x = 70*3

x = $210

Hence the original price of the skis is $210