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Donavon and three friends go to a fair. They each spend of their money on rides. ​ Then, they each spend​ $3 on food. At the end of the​ day, Donavon and his friends have a total of​ $8 remaining. How much money did each person bring to the​ fair? Question content area bottom Part 1 Complete the work to find the value of x. enter your response here enter your response herex enter your response here enter your response here enter your response herex enter your response here x enter your response here ​(Type integers or​ fractions.)

1 Answer

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Final answer:

To solve the problem, we determine that each person spent three quarters of their money on rides and $3 on food, with a total of $8 left for four people.

By setting up the equation and solving for x, we find that each person initially had $20.

Step-by-step explanation:

The student's question relates to solving a word problem to determine how much money each person initially had before spending some on rides and food.

Let's denote the amount of money each person started with as x. If they spent three quarters (3/4) of their money on rides and $3 on food, the remaining amount for each person would be one quarter (1/4) of x minus 3 dollars.

Since there are four friends and they have a total of $8 left, we can set up the following equation:

  • 4 * ((1/4)x - 3) = 8

We multiply through by 4 to eliminate the fraction:

  • (x - 12) = 8

Adding 12 to both sides gives us the starting amount of money each person had:

  • x = 8 + 12
  • x = 20

Thus, each person brought $20 to the fair.

User Daniel Moura
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