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Complete the system of equations to represent the situation below: The basketball team sold 30 team photos (p) and husky stuffed animals (h) before a game and made $690 from the sales. They charged $5 for each photo and $25 for each husky.

A) 5p + 25h = 30
B) 30p + 5h = 690
C) 5p + 25h = 690
D) 30p + 5h = 30

1 Answer

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Final answer:

The system of equations representing the situation where the basketball team sold 30 team photos (p) and husky stuffed animals (h) and made $690 from the sales is: p + h = 30, and 5p + 25h = 690.

Step-by-step explanation:

To represent the given situation in a system of equations, we need to establish equations based on the information provided. The basketball team sold 30 items in total, which were team photos (p) and husky stuffed animals (h), and they made $690 from these sales. The price of each photo is $5, and the price of each husky is $25.

First, since they sold 30 items in total, the equation for the quantity is:

  • p + h = 30

Next, to represent the revenue made from the sales, we multiply the quantity of each item by its respective price and sum it up to reach the total sales of $690:

  • 5p + 25h = 690

Therefore, the complete system of equations to represent the situation is:

  1. p + h = 30
  2. 5p + 25h = 690

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