McGraw Hill Glencoe Geometry, 2012
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McGraw Hill Glencoe Geometry, 2012 View details
2. Probability with Permutations and Combinations
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Exercise 31 Page 930

Define a variable that represents the number of drinks sold.

J

Practice makes perfect
Student Council sells soft drinks for $1.50 each. We are asked find the number of soft drinks that the Student Council would have to sell to earn $250. Also, we have to take into account that they pay $75 to rent the concession stand. First, let's define a variable d that will represent the number of drinks sold. Number of drinks sold= d The revenue after selling d drinks is equal to the price of the drink $ 1.50 multiplied by the number of the drinks d. Revenue= 1.50* d To calculate Student Council's profit, we have to deduct $ 75 from the revenue for the cost of renting the concession stand. Profit= 1.50* d- 75 We want to find the number of drinks d that Student Council has to sell in order to make a profit of $ 250. 250= 1.50* d- 75 We created a linear equation for the number of drinks sold d. Let's solve it!
250=1.50d-75
Solve for d
325=1.50d
325/1.5=d
d=325/1.5
d= 216.666666...
d≈ 216.7
We found that Student Council has to sell 216.7 drinks to make $250 profit. Since we cannot sell fractions of a drink, we have to round this number up. Therefore, the number of drinks that Student Council has to sell is 217. This result corresponds with option J.