Katrina's ski boots cost 8% more than her skis.Her ski boots cost $162. Whick equation can be used to find the cost, c, of Katrina's skis?
a. c + 0.08c =162
b. c + 0.8c = 162
c. c - 0.08c = 162
d. c - 0.8c = 162
please answer and explain
what is 8% more than c?
That should equal 162.
i have this same question i put c
To find the equation that can be used to find the cost, c, of Katrina's skis, we need to determine the relationship between the cost of the skis and the cost of the ski boots.
It is given in the question that the ski boots cost 8% more than the skis. This means that the cost of the ski boots is 108% (100% + 8%) of the cost of the skis.
Let's assume the cost of the skis is c. Then, the cost of the ski boots would be 108% of c, which can be written as 1.08c.
Now, we are given that the cost of the ski boots is $162. So, we can set up the equation:
1.08c = 162
To solve for c, we can divide both sides of the equation by 1.08:
c = 162 / 1.08
Simplifying the right side of the equation, we get:
c = 150
Therefore, the cost of Katrina's skis, c, is $150.
Now, let's check the given answer choices:
a. c + 0.08c = 162
This equation does not match the relationship between the cost of the ski boots and the skis. The ski boots cost 108% of the skis, not just 8% more.
b. c + 0.8c = 162
This equation also does not match the relationship between the cost of the ski boots and the skis. The ski boots cost 108% of the skis, not 80%.
c. c - 0.08c = 162
This equation subtracts 8% of the cost from the skis' cost, which is not correct in this scenario.
d. c - 0.8c = 162
This equation subtracts 80% of the cost from the skis' cost, which is also not correct in this scenario.
Thus, the correct equation to find the cost, c, of Katrina's skis is:
1.08c = 162