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When it comes to reimbursement packages, company A offers $205 plus$0.55 per mile. Company B offers $220 plus $0.45 per mile. What number ofmiles driven would make the two reimbursement packages equal?oA. 325B. 250C. 150Ο ΟO OD. 225

Answer :

the number of miles is 150

Explanation

Step 1

set the equations

Company A

company A offers $205 plus

$0.55 per mile

Let

x, number of miles

then

reimbursement A= 205+0.55x

[tex]A=205+0.55x[/tex]

Step 2

set the equations

Company B

company B offers $220 plus

$0.45 per mile

Let

x, number of miles

then

reimbursement B= 220+0.45x

Step 3

if the 2 reimbursements are equal, then

[tex]\begin{gathered} A=B \\ \text{replace} \\ 205+0.55x=220+0.45x \\ \end{gathered}[/tex]

Step 4

solve for x

[tex]\begin{gathered} 205+0.55x=220+0.45x \\ 0.55x-0.45x=220-205 \\ 0.1x=15 \\ x=\frac{15}{0.1} \\ x=150 \end{gathered}[/tex]

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