Answer:
110 = 16 + 10h
110 - 16 = 10h
Step-by-step explanation:
Sylvie needs a <em>total</em> of $110, which is the number she is working towards.
She already has $16, which is what we call a constant, or a number that will not change in the equation.
We are told that if she works 10 hours, she will earn enough money to buy the concert ticket. The amount that she is paid per hour is the variable, which would be signified by the letter "h" in this case.
Set the equation:
(amount of hours) * (pay per hour) + (amount she starts out with) = (total she needs).
Or, to put into numerical & variable terms, plug in the corresponding number (or variable) to the corresponding part.
10 * h + 16 = 110
(10h) + 16 = 110
Another way to solve is to do the first step in isolating the variable, h. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation & =
Parenthesis
Exponents & roots
Multiplication
Division
Addition
Subtraction
First, subtract 16 from both sides:
10h + 16 (-16) = 110 (-16)
10h = 110 - 16
10h = 94
Next, divide 10 from both sides:
(10h)/10 = (94)/10
h = 94/10
h = 9.4
