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Jackson Brothers Auto Dealers sells two brands: Honda and GMC. Over the last 3 months, they have sold 175 autos. The company makes $300 profit on cach GMC sold and $450 profit on each Honda. If the company has made $60,750 profit in that time, how many of each type of car have they sold? 5) O'Henry Rentals rents backhoes and bulldozers. It charges $1200 a day for a backhoe and $2150 a day for a bulldozer. Over the past several weeks, the company has made 31 rentals for a total retum of S43,850. How many times has it rented each type of equipment? 6) Browning Investments manages a large portfolio of stocks and bonds. It has a total of $3,400,000 to invest. The investments are divided into three categories: International stocks return 12% on their investment, standard stocks return 9%, and bonds return 6%. The bonds are considered safer investments and the international stocks are considered quite risky. Therefore, the company desires to have three times as much invested in bonds as it does in international stocks. If the company returned S276,000 last year, how much does it have invested in each investment type? 7) Three players on the Jackson Nets basketball team scored a total of 2640 points last season. Joe Smith averaged 26 points per game. Steven Jones averaged 19 ppg. Michael Brown averaged 16 pPg. Because of injuries, Joe only played in half as many games as Steven. The three played in a total of 135 games. How many games did each player play in? 8) Bob took three tests for his business quant class. He scored a total of 240 points on the tests. His second test score was half of the sum of his first and third test scores. His first test score was 75% of his second test score. What did Bob make on each test? 9) A convenience store has three different sizes of slushes. The small sells for 1.15; the medium sells for 1.45, and the large sells for 2.00. They sold 150 slushes in one day and made $242.75. They sold half as many mediums as the total of small and large combined. How many of each type did they sell? 54 /84

Answer :

Jackson Brothers Auto Dealers have sold 120 GMC cars and 55 Honda cars over the last 3 months. The company has sold 120 GMC cars and 55 Honda cars.

Let's assign variables to represent the number of GMC and Honda cars sold. Let x be the number of GMC cars and let y be the number of Honda cars.

We can set up a system of equations to represent the given information:

Equation 1: x + y = 175 (total number of cars sold)

Equation 2: 300x + 450y = 60,750 (total profit made)

We can solve this system of equations using substitution or elimination method. Using the elimination method, multiply Equation 1 by 300 and Equation 2 by 1:

Equation 1: 300x + 300y = 52,500

Equation 2: 300x + 450y = 60,750

Subtract Equation 1 from Equation 2:

150y = 8,250

Divide both sides by 150:

y = 55

Substitute the value of y back into Equation 1:

x + 55 = 175

Subtract 55 from both sides:

x = 120

The company has sold 120 GMC cars and 55 Honda cars.

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