A charity will give away exactly $600 for tickets for adults and children to attend a concert. The adult tickets are $3.00 each, while each child's ticket costs $2.00. The $600 could be used for 200 adult tickets and no child tickets; it could be used for 300 child tickets and no adult tickets; or some combination of adult and child tickets that adds to a cost of $600; for example, 60 child tickets at a cost of $120 and 160 adult tickets at a cost of $480. However, another restriction exists that limits the number of adult and children tickets: the number of adult tickets must be 200 less than twice the number of child tickets. How many adult tickets and how many child tickets should be purchased to meet these two conditions?
to determine the number of tickets in each category meeting all the given constraints
Let A and C denote the number of adult and child tickets to be sold . First list the conditions on A and C.
Solve A =100 an...
Q: Find an equation of the circle whose diameter has endpoints (-5, 6) and (3, 2). X
A: Click to see the answer
A: The given pair of equation are 2x +5y = 4 and 4x +10y = 1.
Q: Condense the expression to the logarithm of a single quantity (c) 4 [lnz +ln(z +5)] −2ln(z −5)
A: Consider the provided expression.
Q: Answer the following questions about the equation below. 12x3 +53x-34x + 5 = 0 (a) List all rational...
A: We are given an equation as
Q: 21 of 30 (4 complete) This Question: 1 pt f Then determine the domain for each function. g Given f(x...
A: Consider the provided functions:
Q: Scientific notation is a common way of writing very large numbers. In everyday life we see this when...
A: Storage space of the phone = 10 gigabytes = 104 megabytes.Size of the game = 76 megabytes.
Q: Solve the system of equations by the substitution method. 2 3 y = 7xt 7 5 y = X7 Select the correct ...
A: Given:The system of equations is
Q: Fill in the blank to make the expression a perfect square. 2 12y X
A: The given expression is,