Answer:
so she worked 12 hours as a babysitter and hours 6 as a hostess
Step-by-step explanation:
she woks 6 hours and gets 52.20 as a hostess so if she worked 6 hours as a babysitter then she would make 60 and 165-60=105 and scince she worked 6 hours as a baby sitter than she has to work 12 hours as a hostess to make 105 we know that 105+60 =165
Algebraic equations are equations that contain unknown variables in them. These unknown variables can be represented by letters of the alphabet.
The number of hours she babysat last week was 6 hours
Let the number of hours
She worked as a hostess = a
She worked as a babysitter = b
We are told in the question that: Susan works as a hostess where she makes $8.75 per hour she also babysits and earns $10.00 per hour. last week she made $165.00.
This can be represented using algebraic equation as:
$8.75 x a + $10.00 x b = $165.00
8.75a + 10b = 165........Equation 1
We are also told: she worked 6 hours more as a hostess than she did babysitting. The algebraic equation for the above statement is :
a = b + 6
We substitute b + 6 for a in Equation 1
8.75(b + 6) + 10b= 150
8.75b + 52.5 + 10b= 165
Subtract 52.5 from both sides
8.75a + 10a + 52.5 - 52.5 = 165 - 52.5
18.75b = 112.5
Divide both sides by 18.75
18.75a / 18.75 = 112.5/18.75
b = 6 hours.
Therefore, the number of hours she babysat last week was 6 hours.
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