Question

Sylvie needs $110 for a concert ticket.

She already has $16 and she can
earn the rest by working 10 hours
at her job. If h represents her hourly
earnings, which of the following
equations can be solved to find
Sylvie’s hourly earnings? Select all
that apply.
110 - 16 = 10h
110 = 16h + 10
16 = 110 - h
110 = 16 + 10h
110 + 16 = 10h

Answer 1

110 = 16 + 10h

110 - 16 = 10h

Explanation:

Sylvie needs a total 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