Linda was selling tickets for the school play. She sold 10 more adult
tickets than children tickets and she sold twice as many senior tickets as
children tickets. Adult tickets cost $5, senior tickets cost $3 and children
tickets cost $2. Linda made $700. Write an equation to model the situation
so that we can find the amount of tickets sold to adults, children, and seniors.
I could use some help
A = C + 10
S = 2C
5A + 3S + 2C = 700
5(C+10) + 3(2C) + 2C = 700
Solve for C then A and S.
Thank you
what about
Members of the band boosters are planning to sell programs at football
games. The cost to print the programs is $150 plus $0.50 per program.
They plan to sell each program for $2. Write an inequality to model the
situation so that we can find how many programs must be sold to make a
profit of at least $500.
To write an equation that models the situation, let's define the variables:
Let A be the number of adult tickets sold.
Let C be the number of children tickets sold.
Let S be the number of senior tickets sold.
According to the problem, Linda sold 10 more adult tickets than children tickets, so we can write the equation A = C + 10.
Linda also sold twice as many senior tickets as children tickets, so we can write the equation S = 2C.
Now, let's determine the total amount of money Linda made from selling the tickets:
The cost of each adult ticket is $5, so the total amount from adult tickets is 5 * A.
The cost of each senior ticket is $3, so the total amount from senior tickets is 3 * S.
The cost of each children ticket is $2, so the total amount from children tickets is 2 * C.
The problem states that Linda made $700 in total, so we can write the equation:
5A + 3S + 2C = 700.
Therefore, the equation that models the situation is A = C + 10, S = 2C, and 5A + 3S + 2C = 700.