Sven, tina, and laurie can process 740 telephones orders per day. sven and tina together can process 470 orders, while tina and laurie together can process 520 orders per day. how many orders can each person process alone?

Sven's orders=220 orders

Tina's orders=250 orders

Laurie's orders=270 orders

Step-by-step explanation:

We can derive the following expressions from the information given;

Total orders per day=Sven's orders+Tina's orders+Laurie's orders

where;

Total orders per day=740

Sven's orders=s

Tina's orders=t

Laurie's orders=l

replacing;

Total orders per day=s+t+l

s+t+l=740equation 1

Total order(Sven and Tina)=Sven's orders+Tina's orders

where;

Total order(Sven and Tina)=470

Sven's orders=s

Tina's orders=t

replacing;

Total orders per day=s+t

s+t=470equation 2

Total order(Tina and Laurie)=Tina's orders+Laurie's orders

where;

Tina's orders=t

Laurie's orders=l

replacing;

Total orders per day=t+l

t+l=520equation 3

All the equations are as follows;

s+t+l=740equation 1

s+t=470equation 2

t+l=520equation 3

Replace the value of t+l in equation 1 with 520

s+520=740

s=740-520

s=220

Replace the value of s in equation 2 with 220

220+t=470

t=470-220

t=250

Replace the value of t in equation 3 with 250

250+l=520

l=520-250

l=270

Sven's orders=s=220 orders

Tina's orders=t=250 orders

Laurie's orders=l=270 orders

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step-by-step explanation:

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)