Question

1. Tickets for the school play cost $5 for students and $8 for adults. On opening night, all 360 seats were filled, and the box office revenues were $2610. How many student and how many adult tickets were sold?

2. A $76,000 trust is to be invested in bonds paying 8%, CDs paying 7%, and mortgages paying 10%. The bond and CD investment must equal the mortgage investment. To earn a $6670 annual income from the investments, how much should the bank invest in bonds?

3. Suppose that Janine desires 46 grams of protein and 38 grams of dietary fiber daily. One serving of kidney beans has 8 grams of protein and 6 grams of dietary fiber. One serving of refried pinto beans has 6 grams of protein and 6 grams of dietary fiber. If a serving of kidney beans costs $0.45 and a serving of refried pinto beans costs $0.35, then how many servings of each should Janine eat to minimize cost and still meet her requirements?

Answer 1

Answer 1:

Data given:

Cost of each ticket for the school play for students = $5

Cost of each ticket for the school play for adults = $8

On opening night, all 360 seats were filled, and the box office revenues were $2610.

Using the above information, we can formulate the equations as -

Let the number of student tickets and adult tickets sold be "x" and "y", resepectively.

1. On opening night, all 360 seats were filled.

2. The box office revenues were $2610.

On performing , we get -

On substituting y = 270 in Equation1, we get -

  

Thus, the number of student tickets and adult tickets sold are 90 and 270 respectively.