An amusement park sells child and adult tickets at a ratio of 8: 1. on saturday they sold 147 more child tickets than adult tickets. how many tickets did the amusement park sell on saturday.

Answer:

189 tickets were sold in amusement park on Saturday.

Step-by-step explanation:

Given:

The ratio of  child and adult tickets  =  8:1

sold 147 more child tickets than adult tickets

To Find:

Number of tickets sold on Saturday in the amusement park = ?

Solution:

Let

The number of child ticket be  x

The number of adult ticket be y

Then from the ratio we know that there are 8 child ticket than adult ticket

=> x =8y------------------------------(1)

Also, they sold 147 more child tickets than adult tickets

=> x = 147 +y--------------------------(2)

Equating (1) and (2)

8y =  147 +y

8y-y = 147

7y=147

y =

y =21

So The number of adult tickets were 21

Now the child ticket

x = 147 +y

x = 147+21

x= 168

Total tickets  = adult ticket + child ticket

=>21 +168

=> 189 tickets

it shoild be o

step-by-step explanation:

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!