Swimming Pool On a certain hot summer's day, 691 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $1295.50.
How many children and how many adults swam at the public pool that day?

Number of children= 346

Number of adults= 345

Step-by-step explanation:

We can set up a system of equations to solve for the number of children and adults.

x= number of children

y= number of adults

We know that the total number of people at the swimming pool is 691, which is comprised of both children and adults. We can write this equation as...

x+y=691

We also know that children pay 1.75 dollars and adults pay 2 dollars, with a total of 1295.50 dollars.

1.75x+2y=1295.50

We can now solve the system with elimination by multiplying the first equation by negative 2.

x+y=691 -> -2x-2y= -1382

-2x-2y= -1382

1.75x+2y=1295.50

-0.25x=-86.5

x= 346

Now that we found the number of children, we can solve for the number of adults.

x+y=691

346+y=691

y= 345

step-by-step explanation:

i think you should think about the question and not look online.

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!