Question

The cost of a movie ticket is $8.00 for each adult and $6.00 for each child. Assume you have $40.00 to spend

on tickets. Write an equation in standard form to represent the number of adult tickets, B, and the number of
children's tickets, y, you can buy with your $40.00,

Answer 1

The equation to represent the number of adult (B) and children's (y) movie tickets that can be bought with $40.00 is 8B + 6y = 40, in standard form.

Step-by-step explanation:

To write an equation that represents the number of adult movie tickets, B, and the number of children's tickets, y, you can buy with $40.00, we will use the cost of an adult ticket ($8.00) and a child's ticket ($6.00). Since the total amount to spend is $40.00, the equation that represents this situation is:

8B + 6y = 40

This is the equation in standard form, which shows that the cost of B adult tickets plus the cost of y children's tickets equals $40.00. Standard form typically has integer coefficients and both variables on the same side of the equation, set equal to the total amount available to spend.

Steps to Simplify the Equation

If we had the equation $10 = $2 × Qburgers + $0.50 × Qbus tickets, the simplification process would involve:

1. Multiplying both sides by 2 to eliminate the fraction, resulting in:
2. 20 = 4 × Qburgers + 1 × Qbus tickets, which is a similar process to the one needed to simplify our movie ticket equation.

Answer 2

The Equation is 8b + 6y = 40

Step-by-step explanation:

Let the number of adult tickets be b

Also let the number of child tickets be y

Given:

Cost of each adult ticket = $8.00

Cost of each child ticket = $6.00

Total Money need to spend on tickets = $40.00

Hence the expression can be represented as Total Money need to spend on tickets is equal to Cost of each adult ticket multiply by number of adult tickets plus Cost of each child ticket multiply by number of child ticket.

Total Money need to spend on tickets = Cost of each adult ticket × number of adult tickets + Cost of each child ticket × number of child tickets

8b + 6y = 40

Hence equation which represent the number of adult tickets, b, and the number of children's tickets, y, you can buy with your $40.00 is 8b + 6y = 40