All categories

3 years ago

The school that Joe goes to is selling tickets to a choral performance. On血e first day of ticket

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

6 0

Answer:

The price of one senior citizen ticket is $8, and the price of one child ticket is $11.

Step-by-step explanation:

You are looking for two things: the price of a senior citizen ticket and the price of a child ticket.

We need to write two equations using two variables.

Let s = price of 1 senior citizen ticket.

Let c = price of 1 child ticket.

First day of ticket sales:

6 senior citizen tickets, 8 child tickets, total sales of $136

Since s is the price of a senior citizen ticket, 6 tickets cost 6s.

Since c is the price of a child ticket, 8 tickets cost 8c.

The total sales is 6s + 8c.

The total sales is $136, so our first equation is

6s + 8c = 136

Now we do the same for the second day of ticket sales.

6 senior citizen tickets, 9 child tickets, total sales of $147.

Since s is the price of a senior citizen ticket, 6 tickets cost 6s.

Since c is the price of a child ticket, 9 tickets cost 9c.

The total sales is 6s + 9c.

The total sales is $147, so our second equation is

6s + 9c = 147

The system of equations is

6s + 8c = 136

6s + 9c = 147

Multiply both sides of the first equation by -1. Write the second equation below it. Then add the equations.

-6s - 8c = -136

(+) 6s + 9c = 147

----------------------------

c = 11

c = 11, so the cost of a child ticket is $11.

Now substitute 11 for c in the first equation, and solve for s.

6s + 8c = 136

6s + 8(11) = 136

6s + 88 = 136

6s = 48

s = 8

The price of a senior citizen ticket is $8.

The price of a senior citizen ticket is $8, and the price of a child ticket is $11.

You might be interested in

The line $y = 3$ intersects the graph of $y = 4x^2 + x - 1$ at the points $A$ and $B$. The distance between $A$ and $B$ can be w

raketka [301]

Answer:

Step-by-step explanation:

Let's find the points $A$ and $B$ .

We know that the $y$ -coordinates of both are $3$ .

So let's first solve:

$3=4x^2+x-1$

Subtract 3 on both sides:

$0=4x^2+x-1-3$

Simplify:

$0=4x^2+x-4$

I'm going to use the quadratic formula, $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , to solve.

We must first compare to the quadratic equation, $ax^2+bx+c=0$ .

$a=4$

$b=1$

$c=-4$

$\frac{-1 \pm \sqrt{1^2-4(4)(-4)}}{2(4)}$

$\frac{-1 \pm \sqrt{1+64}}{8}$

$\frac{-1 \pm \sqrt{65}}{8}$

Since the distance between the points $A$ and $B$ is horizontal. We know this because they share the same $y-coordinate$ .This means we just need to find the positive difference between the $x$ -values we found for the points of $A$ and $B$ .

So that is, the distance between $A$ and $B$ is:

$\frac{-1+\sqrt{65}}{8}-\frac{-1-\sqrt{65}}{8}$

$\frac{-1+\sqrt{65}+1+\sqrt{65}}{8}$

$\frac{2\sqrt{65}}{8}$

$\frac{\sqrt{65}}{4}$

If we compare this to $\frac{\sqrt{m}}{n}$ , we should see that:

$m=65 \text{ and } n=4$ .

So $m-n=65-4=61$ .

5 0

3 years ago

Read 2 more answers

On Monday, Noah finds 19 big grasshoppers and 9 small ones in his garden. What is the experimental probability of finding a smal

Lina20 [59]

That would be 9 /(19+9) = 9/28 Answer

5 0

3 years ago

Read 2 more answers

NEED HELP ASAP!!

Sindrei [870]

The answer is B (the quotient of four time some number and six)

7 0

2 years ago

Read 2 more answers

Can you answer 14.15.16

Ne4ueva [31]

Answer:

can you please tell me the question there's nothing there

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

At the baseball stadium, the price for popcorn is $5.88 for 3 bags. If you want to buy 7 bags of popcorn, how much will it cost?

4vir4ik [10]

The answer will be $13.72 for 7 bags of popcorn.

to find this answer, you first take 5.88 and divide it by 3 to find out how much one bag costs.

the answer to 5.88/3 is 1.96, so you multiply 1.96 by 7 to get the answer of how much 7 bags of popcorn will cost.

hope this helps!

4 0

3 years ago

Read 2 more answers