Sam is buying a pair of water skis that are on sale for 2/3 of the original price. After he uses a $25 gift certificate the total cost before taxes is $115. What is the original price of the skis?

Respuesta :

kkfoug

Answer:

$210

Step-by-step explanation:

The first thing we can do is to add the $25 back on to the total cost.

25 + 115 = 140.

We do this because he Sam used a gift certificate on the ski's that are already 2/3 of the original price.

Now, to find the original price we can use this equation:

[tex]\frac{2}{3} x = 140[/tex]

X represents the original price.

To solve this equation you would flip 2/3 to 3/2 and multiply that by 140, as seen below:

[tex](\frac{3}{2}) \frac{2}{3}x = 140 (\frac{3}{2})[/tex]

Now you can solve:

[tex]x = \frac{420}{2} \\x = 210[/tex]

We can check this answer by multiplying 210 by 2/3

(210)(2/3) = 140

Remember, Sam used a gift certificate for $25

140 - 25 = $115

Therefore, the original price of the skis is $210.

I hope this helps!!

- Kay :)