Question

A family went for a movie. The cost of an adult ticket was $9.00, and the children's ticket was $7.00. The total amount for 8 members was $62.00. If x represents the number of adults and y represents the number of children, what pair of equations are correct for the information?

a) 9x + 7y = 62, x + y = 8
b) 9y + 7x = 62, x + y = 8
c) 9x + 7y = 62, 9x + 7y = 8
d) 9y + 7x = 62, 9x + 7y = 8

Answer 1

The correct pair of linear equations representing the cost and number of tickets for the family who went to a movie is option a) 9x + 7y = 62, x + y = 8, where x is the number of adult tickets and y is the number of children's tickets.

Step-by-step explanation:

The correct pair of equations based on the information provided would be: 9x + 7y = 62 and x + y = 8. Here's why:

• The cost of an adult ticket is $9.00: this gives us the 9x term in our equation, where x is the number of adult tickets.
• The cost of a children's ticket is $7.00: this gives us the 7y term in our equation, where y is the number of children's tickets.
• The total cost for all tickets is $62.00: this leads to the equation 9x + 7y = 62.
• The total number of family members is 8: this gives us the equation x + y = 8.

Option a) matches our equations and is hence the correct choice.