Question

A school reserved a banquet hall for the spring dance. In addition to a $100 deposit, each couple must pay $20. The total cost of the banquet hall is $1140. Write and solve an equation to find the number of couples attending the spring dance.

Answer 1

To determine the number of couples attending the spring dance, an equation is set up based on the total cost of the banquet hall. By subtracting the deposit and dividing by the rate per couple, it is found that 52 couples will be attending the dance.

Step-by-step explanation:

To find the number of couples attending the spring dance when the school reserved a banquet hall for a total cost of $1140, with a $100 deposit and a $20 charge per couple, we can set up a linear equation. Let's let x represent the number of couples. Then the equation expressing the total cost is:

100 + 20x = 1140

Solve for x by first subtracting the deposit from both sides:

20x = 1140 - 100

20x = 1040

Now, divide both sides by 20 to find x:

x = 1040 / 20

x = 52

Therefore, the number of couples attending the spring dance is 52.