I have two questions. I am trying to use the formulas our teacher used but I am still confused. I will discuss it with him tonight but I just wanted to get a different perspective.
#1
Amy paid $102 for a pair New Balance 1122 running shoes during a 15%-off sale. What was the regular price?
#2
The perimeter of the state of Wyoming is 1280 mi. The width is 90 mi less than the length. Find the width and the length.
Thanks.
I figured out #1 just need help with #1
errrgg..i meant i figured out #2 i need help with #1.
My formula is as instructed.
B=a/p (Base=amount/percent)
My answer is:
B=102.00/0.15
B=6.80
so the regular prices is 102.00+6.80=108.80
Is that correcT?
Never mind it's not right..just having a brain fart :-)
#1-117.3
Thanks. I was translating the problem incorrectly. I got the right answer using the formula
A=P*B
A=15*102
A=15.30
15.30 + 102.00 = 117.30
Thanks.
Sure, I can help you understand how to solve these problems. Let's take them one by one.
#1
To find the regular price of the New Balance 1122 running shoes, we need to work with the information given. We know that Amy paid $102 during a 15%-off sale. This means that she paid only 85% of the regular price.
To find the regular price, we can set up an equation:
Regular Price * (1 - 15%) = $102
To solve this equation, we need to get rid of the 15% discount. We know that 100% - 15% = 85%. So, we can rewrite the equation as:
Regular Price * 0.85 = $102
Now, to find the regular price, we can divide both sides of the equation by 0.85:
Regular Price = $102 / 0.85
By calculating this expression, you'll find the regular price of the New Balance 1122 running shoes that Amy paid.
#2
To find the width and length of the state of Wyoming, we need to work with the information about the perimeter and the relationship between the width and the length.
Let's assume the length is represented by the variable "L". According to the problem, the width is 90 miles less than the length, so the width can be represented by "L - 90".
The formula for the perimeter of a rectangle is 2*width + 2*length. In this case, we have the perimeter as 1280 miles. So we can set up an equation:
2*(L - 90) + 2*L = 1280
Let's simplify this equation:
2L - 180 + 2L = 1280
4L - 180 = 1280
Now, let's isolate L by adding 180 to both sides:
4L = 1280 + 180
4L = 1460
Finally, divide both sides by 4 to solve for L:
L = 1460 / 4
By calculating this expression, you'll find the length of the state of Wyoming. And since the width is 90 miles less than the length, you can calculate the width by subtracting 90 from the length.
I hope this helps you understand how to approach and solve these problems!