Physics, 09.02.2023 08:10 tylerineedhelp

Admission to a baseball game is $2.00 for general admission and $6.50 for reserved seats. The receipts were $3836.50 for 1133 paid admissions. How many of each ticket were sold?

Answers

Answer from: lolz55678

General admission:784

Reserved seats:349

Explanation

Step 1

set the equations

let x represents the number of general admisions tickets sold

let y represents the number of greserved seats tickets sold

price of general admission: $ 2.0

price of reserved seat: $ 6.5

a)The receipts were $3836.50,hence

$2x+6.5y=3836.5\Rightarrow equation(1)$

B) also, the number of tickets sold is 1133, so

$x+y=1133\Rightarrow equation(2)$

Step 2

solve the equations

$\begin{gathered} 2x+6.5y=3836.5\Rightarrow equation(1) \\ x+y=1133\Rightarrow equation(2) \end{gathered}$

a) isolate x in equation (2) and replace in equation(1)

$\begin{gathered} x+y=1133\Rightarrow equation(2) \\ \text{subtract y in both sides} \\ x+y-y=1133-y \\ x=1133-y \end{gathered}$

now, replace in equation(1)

$\begin{gathered} 2x+6.5y=3836.5\Rightarrow equation(1) \\ 2(1133-y)+6.5y=3836.5\Rightarrow equation(1) \\ \text{break the parenthesis} \\ 2266-2y+6.5y=3836.5 \\ \text{add like terms} \\ 2266+4.5y=3836.5 \\ \text{subtract 266 in both sides} \\ 2266+4.5y-2266=3836.5-2266 \\ 4.5y=1570.5 \\ \text{divide both sides by 4.5} \\ \frac{4.5y}{4.5}=\frac{1570.5}{4.5} \\ y=349 \end{gathered}$

hence

the number of reserved seats sold is 349

b)now, replace the y value in equation (2) to find x

$\begin{gathered} x+y=1133\Rightarrow equation(2) \\ x+349=1133 \\ \text{subtract 349 in both sides} \\ x+349-349=1133-349 \\ x=784 \end{gathered}$

hence

the number of general admission tickets sold is 784

I hope this helps you

Answer from: Quest

explanation:

10.0

An object is located 5.0 cm from a convex lens. the lens focuses light at a distance of 10.0 cm. wha

Answer from: Quest

The rearrangement of particles in a physical change. hope this

Other questions on the subject: Physics

Physics, 22.06.2019 03:00, bwheele6791

Arotating space station is said to create “artificial gravity”—a loosely-defined term used for an acceleration that would be crudely similar to gravity. the outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. if the space station is 200 m in diameter, what angular velocity would produce an “artificial gravity” of 9.80 m/s^{2} 2 at the rim?

Answers: 3

continue

Physics, 22.06.2019 11:00, natalieburnett82

Marcella is a four-year-old girl who is a victim of emotional child abuse. based on the child and family services improvement and innovation act of 2011, which action should the government take for marcella? a. the state should arrest marcella’s abuser. b. the state should find a home for marcella as soon as possible. c. the state should enforce stricter laws in the area where marcella resides. d. the state should provide medical assistance to marcella.

Answers: 3

continue

Physics, 22.06.2019 11:50, morenodonaldo762

The electric field between square plates of a parallel-plate capacitor has magnitude e. the potential across the plates is maintained with constant voltage by a battery as they are pulled apart to twice their original separation, which is small compared to the dimensions of the plates. the magnitude of the electric field between the plates is now equal to a)e b)e/4 c)e/2 d)4e e)2e

Answers: 1

continue

Physics, 22.06.2019 17:20, craig4509

Scientific models are based on current knowledge, which can limit their effectiveness when new discoveries are made.

Answers: 1

continue

You know the right answer?

Admission to a baseball game is $2.00 for general admission and $6.50 for reserved seats. The receip...