Acarnival sold tickets for $1.50 for adults and $1.00 for students. there were 54 tickets sold for a total of $70.50. write a system of equations to represent the number of adult tickets, x, and the number of student tickets, y. find the solution and explain what it means. i'll you if you me

The number of adult tickets are 33 and the number of student tickets are 21 .

Step-by-step explanation:

As

The number of adult tickets x  and the number of student tickets y.

As given

A carnival sold tickets for $1.50 for adults and $1.00 for students.

There were 54 tickets sold for a total of $70.50.

Equations becomes

x + y = 54

1.50x + 1.00y = 54 × 70.50

Simplify the above

150x + 100y =7050

Two equations are

x + y = 54

150x + 100y =7050

Multiply x + y = 54 by 150 from 150x + 100y =7050

150x - 150x + 100y - 150y = 7050 - 8100

-50y = -1050

50y = 1050

y = 21

Putting the value of y in the equation .

x + 21 = 54

x = 54 - 21

x = 33

Therefore the number of adult tickets are 33 and the number of student tickets are 21 .

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)

measurement of the swimming pool is given as = 7 yards 4.79 feet

first we will convert this to yards only.

1 foot = 0.33 yards

so, 4.79 feet = yards

so total yards are = yards

now we will convert this in meters.

1 yard = 0.914 meters

8.580 yards = meters

0.842 m = 0.842*100 = 84.2 cm

this becomes 7 meters and 84.2 cm

hence, the pool is 7 meters and 84.2 cm wide.