Question

Marybeth works from home she raised her hourly rate by 5% to cover increased cost. Her new hourly rate is 22.69. Find Mary beths previous rate

Answer 1

Step 1

State the given data

`\begin{gathered} \text{new hourly rate= 22.69} \\ \text{Previous rate=x} \\ \text{Increased rate \%}=105\text{\%} \\ \text{Previous rate \%= 100\%} \end{gathered}`

Step 2

Find the previous rate (x) using ratio

`\frac{\text{new hourly rate}}{\text{increased rate\%}}=\frac{Previous\text{ rate}}{\text{previous rate \%}}`
`\begin{gathered} (22.69)/(105)=(x)/(100) \\ 105x=100*22.69 \\ (105x)/(105)=(2269)/(105) \end{gathered}`
`\begin{gathered} x=21.60952381 \\ \text{Hence her previous rate is }\approx\text{ 21}.61\text{ to 2 decimal places} \end{gathered}`