Aaron, Glenn, James, Matt and Trevor stop for pizza. The boys decide to order the same type of pizza. A whole pizza is divided into eight equal pieces and costs seventy cents a slice. Aaron says he will eat one-half of a pizza. Glenn says he will eat one-fourth of a pizza. James says he will eat three-eighths of a pizza. Matt says he will eat four-eighths of a pizza and Trevor says he will eat three-eighths of a pizza. How many whole pizzas do the boys order and what does each boy pay for his pizza slices? Show all your mathematical thinking.

The correct answer is -

1. 2 whole pizza

2. each boy pay for his pizza slices are -

Aaron - $2.80

Glenn - $1.40

James - $2.10,

Matt - $2.80 and

Trevor - $2.10

Step-by-step explanation:

According to the question, Aaron, Glenn, James, Matt, and Trevor are boys who ordered pizza as per their requirements.

Total slices ordered are -1/2 of pizza or 4 for Aaron, 2 for Glenn, 3 slices for James, 4 slices for Matt and 3 for Trevor,

= 4+2+3+4+3 = 16 slices

2 pizza means = 16 slices

total price = 70 cents*16

= $11.20

each boy pay for his pizza slices are -

Aaron - $2.80 - 4 slice

Glenn - $1.40 - 2

James - $2.10, -3

Matt - $2.80 - 4

Trevor - $2.10 -3

i dont know if you cant find a way its best to actually add all of them start from 105 tho

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!