by tsidhqiyah » Tue Jan 31, 2012 1:02 am
A store offers 15% discount on all items in the store during a sale. All store employees get an additional 10% employee discount. In the equation below, C represents the cost of an item for an employee including tax, and x represents the original price of the item.
C = 0.765x + 0.06(0.765x)
Chris is an employee at the store. He plans to buy a coat during the sale. The price of the coat before the discount is $100. How much will Chris pay for the coat during the sale?
Question 3
Maya and Sally were the two finalists in a singing competition. The person with the most votes from the audience was chosen as the winner. Sally received 25% of the total votes and lost by 62,500 votes. No person in the audience was allowed to vote more than once. The equation below represents this situation, where y is the total number of votes cast and x is the number of votes Maya received.
x - 62,500 = 0.25y
If a total of 125,000 people voted, how many votes did Maya receive?
Question 4
The sum of three consecutive integers is 267. What is the largest integer?
Question 5
The table below shows the fees to check bags on a certain airline.
If x represents the total number of bags a person checks and each person checks more than two bags, the equation below can be used to determine C, the total fee for all the bags.
20 + 25 + 50(x - 2) = C
Arianna paid a total of $145 to check all her bags on a flight. How many bags did she check in all?
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tsidhqiyah
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by katlynne » Tue Jan 31, 2012 1:07 am
A store offers 15% discount on all items in the store during a sale. All store employees get an additional 10% employee discount. In the equation below, C represents the cost of an item for an employee including tax, and x represents the original price of the item.
C = 0.765x + 0.06(0.765x)
Chris is an employee at the store. He plans to buy a coat during the sale. The price of the coat before the discount is $100. How much will Chris pay for the coat during the sale?
Question 3
Maya and Sally were the two finalists in a singing competition. The person with the most votes from the audience was chosen as the winner. Sally received 25% of the total votes and lost by 62,500 votes. No person in the audience was allowed to vote more than once. The equation below represents this situation, where y is the total number of votes cast and x is the number of votes Maya received.
x - 62,500 = 0.25y
If a total of 125,000 people voted, how many votes did Maya receive?
Question 4
The sum of three consecutive integers is 267. What is the largest integer?
Question 5
The table below shows the fees to check bags on a certain airline.
If x represents the total number of bags a person checks and each person checks more than two bags, the equation below can be used to determine C, the total fee for all the bags.
20 + 25 + 50(x - 2) = C
Arianna paid a total of $145 to check all her bags on a flight. How many bags did she check in all?
Only 6% sales tax!! Lucky...
C(100) = 76.5 + .06*76.5 = 1.06 * 76.5 = 81.09
Q3: The extra information (about the 125000 people) was not necessary
x = .75y = .25y + 62500
.5y = 62500
y = 125000
so x = .75y = 93750
Q4: say the three integers are n-2, n-1 and n (n is the number we're looking for):
n - 2 + n - 1 + n = 3n - 2 - 1 = 3n - 3 = 267
3n = 270
n = 90
Q5: C = 20 + 25 + 50 ( x - 2) = 145
C = 45 + 50 (x - 2) = 145
50 (x - 2) = 100
x - 2 = 2
x = 4
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katlynne
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