Question

Jude and three friends go to a fair. They each spend 1/2 of their money on rides. Then they each spend $3 on food. At the end of the day, Jude and his friends have a total of $8 remaining. How much money did each person bring to the fair? Enter your answer in the text box.

Answer 1

Jude and each of his three friends brought $10 to the fair. They initially spent half of their money on rides and then $3 on food. The equation 4*((x/2) - 3) = 8 represents their expenditures and remaining funds, which calculates to $10 each.

Step-by-step explanation:

To solve how much money each person brought to the fair, let's represent the total amount of money each person brought as x. Jude and each of his three friends spent 1/2 of their money on rides, so after the rides they each had x/2 remaining. Then, they each spent $3 on food, leaving each person with (x/2) - 3 dollars. Since there are four people, and they ended up with a total of $8 altogether, we can set up the equation: 4*((x/2) - 3) = 8.

Now, let's solve the equation step by step:

1. Expand the equation: 4*(x/2 - 3) = 4*x/2 - 4*3
2. This simplifies to: 2x - 12 = 8
3. Add 12 to both sides: 2x = 20
4. Divide both sides by 2: x = 10

So, each person brought $10 to the fair before spending money on rides and food.