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zena needs a salesperson. Salesperson A is offering his servicies for an initial 50 in addition to 5 per hour. salesperson B is offering her services for an initial 4000in addition to 700 per hour. When will the two coaches charge the same amount of money?

Respuesta :

calculista

Answer:

[tex]5\ hours[/tex]

Step-by-step explanation:

The correct question is

Zena needs a salesperson. Salesperson A is offering his services for an initial $50 in addition to $5 per hour. salesperson B is offering her services for an initial $40 in addition to $7 per hour. When will the two coaches charge the same amount of money?

Let

x ----> the number of hours

y ----> the total charge

we know that

Salesperson A

[tex]y=5x+50[/tex] ------> equation A

Salesperson B

[tex]y=7x+40[/tex] ------> equation B

To find out when the two coaches charge the same amount of money, equate equation A and equation B and solve for x

[tex]7x+40=5x+50[/tex]

[tex]7x-5x=50-40[/tex]

[tex]2x=10[/tex]

[tex]x=5\ hours[/tex]