Question

The expenses for the homecoming dance were $1,600. The class members sold 259 tickets and made a profit of $3,250. If x represents the price of each ticket sold, write an equation that could be used to find x.

a) 259x = 3,250 - 1,600
b) x - 1,600 = 3,250
c) 1,600 + 259x = 3,250
d) 1,600x - 259 = 3,250

Answer 1

The equation that could be used to find the price of each ticket sold is option a). To solve the equation, subtract 1,600 from both sides and divide by 259 to find x. The price of each ticket sold is approximately $6.37. The correct answer is option a) 259x = 3,250 - 1,600.

Step-by-step explanation:

The equation that could be used to find the price of each ticket sold is option a) 259x = 3,250 - 1,600.

To solve the equation, we need to isolate the variable x. We can do this by subtracting 1,600 from both sides of the equation: 259x - 1,600 = 3,250 - 1,600.

This simplifies to: 259x = 1,650.

Finally, we divide both sides of the equation by 259 to solve for x: x = 1,650 ÷ 259 ≈ 6.37.

Therefore, the price of each ticket sold is approximately $6.37.J11