Coach Johnson is 10 years older than Tim. When Tim started football 3 years ago, Coach Johnson was twice his age. How old is Tim now?

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Question 2

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?

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Question 3

The sum of three consecutive integers is 267. What is the largest integer?

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Question 4

A store offers a 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?

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1) C = coach; T = Tim C = T + 10; C-3 = 2(T-3), so C = 2T – 6 + 3 = 2t – 3 2t – 3 = t + 10 t = 13, Tim’s age now, so coach is 23; three years ago they were 10 & 20 2) x – 62,500 = 0.25y; If a total of 125,000 people voted, how many votes did Maya receive? x = Maya, y = total, = 125,000 x – 62500 = 0.25(125,000) = 31,250 x – 62500 = 31,250 x = 62500 + 31250 = 93,750 votes for Maya 3) sum of three consecutive integers is 267. What is the largest integer? a + b + c = 267 Since they are consecutive, b = a + 1, c = a + 2. Substitute a + a+1 + a+2 = 267 3a + 3 = 267 3a = 264 a = 88, b = 89, c = 90 4) C = 0.765x + 0.06(0.765x) Substitute 100 for x C = 0.765(100) + 0.06(0.765)100 = 76.5 + (.06)76.5 = 1.06(76.5) = 81.09 He pays $76.50 for the coat, the 6% tax of $4.59

Ok 1) 13 2) 93,750 3) 90 4) $81.09