tret
) Write a system of equations to describe the situation below, solve using any method, and
fill in the blanks,
4) Miss Ellison is getting married soon. She would like to hire a professional who will come
to her house and do hair and makeup for the bridal party on her wedding day. She has
narrowed it down to two possible choices. A woman from Oxford Salon charges an initial fee
of $34 and then an additional $13 per hour. Alternatively, a team from Beauty by Charlie
offers a free consultation and then charges a higher hourly rate of $30. If it takes a certain
amount of time to finish everyone's hair and makeup, Miss Ellison will end up paying the
same amount either way. How long would that take? How much would Miss Ellison end up
paying?
hours, to finish everyone's hair and makeup, Miss Ellison will end up
It it takes
paying $

The two equations expressed in this scenario will be

y = 13x + 34

And

y = 30x

I like substitution, so let’s use that

Plug in y = 30x for y in the first equation

30x = 13x + 34

Subtract

17x = 34

x = 2

Plug in 2 for x in any equation

y = 30(2)

y = 60

It would be 2 hours and she would pay $60 dollars

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