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Jenny, Shen, and Deandre served a total of 95 orders Monday at the school cafeteria. Shen served 3 times as many orders as Deandre. Jenny served 5 more orders than Deandre. How many orders did they each serve?

a) Jenny: 30, Shen: 45, Deandre: 20
b) Jenny: 25, Shen: 35, Deandre: 20
c) Jenny: 30, Shen: 25, Deandre: 15
d) Jenny: 35, Shen: 20, Deandre: 15

User Max Linke
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1 Answer

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Final answer:

The number of orders each person served can be found by setting up and solving a system of equations.

Step-by-step explanation:

To find out how many orders each person served, we can set up a system of equations based on the given information. Let's say that Deandre served x orders. Then, Shen served 3 times as many orders, which would be 3x orders. And Jenny served 5 more orders than Deandre, which would be x + 5 orders. According to the problem, the total number of orders served is 95. So, we can set up the equation: x + 3x + (x + 5) = 95. Simplifying this equation, we have 5x + 5 = 95. Subtracting 5 from both sides, we get 5x = 90. Dividing both sides by 5, we find x = 18. This means that Deandre served 18 orders. Shen served 3 times as many, which would be 3 * 18 = 54 orders. And Jenny served 5 more, which would be 18 + 5 = 23 orders. Therefore, the correct answer is Jenny: 23, Shen: 54, Deandre: 18.

User Patrick Bucher
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