Question

The Arcade near Henry's house charges a $2 entrance fee, plus $1.25 per game played. The arcade near Marie's house charges a $3.50 entrance fee, plus $1.00 per game played. After how many games played will Henry and Marie spend the same amount of money? Write your answer in a complete sentence.

Answer 1

To find out after how many games played Henry and Marie will spend the same amount of money, we need to set up an equation and solve for x. After solving the equation, we find that Henry and Marie will spend the same amount of money after 6 games played.

Step-by-step explanation:

To find out after how many games played Henry and Marie will spend the same amount of money, we need to set up an equation. Let's define the number of games played as 'x'.

For Henry: total cost = 2 + 1.25x

For Marie: total cost = 3.50 + 1x

Since the two totals are equal, we can set up an equation and solve for x:

2 + 1.25x = 3.50 + 1x

Subtracting 1x from both sides gives us:

2 + 0.25x = 3.50

Subtracting 2 from both sides gives us:

0.25x = 1.50

Dividing both sides by 0.25 gives us:

x = 6

Therefore, Henry and Marie will spend the same amount of money after 6 games played.