Question

francis and Janine made $905 together. francis was paid $22 an hour while Janine was paid $25 per hour. francis worked 8 hours less than Janine. how many hours did Janine work?

Answer 1

Step 1;

We were told Francis and Janine made $905 together,

Let the total number of hours be represented by x,

Francis worked 8hours less than Janine,

Thus Francis worked for (x-8)hrs

Janine worked for x hours.

Step 2: Let us write the total amount paid for Francis and Janine

`\begin{gathered} \text{Francis,} \\ =\text{ \$22(x-8)} \\ \text{Janine,} \\ =\text{ \$25(x)} \end{gathered}`

Step 3: Let us write out the equation and solve for the number of hours Janine worked

`\begin{gathered} \text{ \$22(x-8)+\$25(x)=\$905} \\ \end{gathered}`
`\begin{gathered} \text{Divide through by \$},\text{ you will have} \\ 22(x-8)+25(x)=905 \\ 22x-176+25x=905 \\ \text{collect like terms} \\ 22x+25x=905+176_{} \\ 47x=1081 \end{gathered}`
`\begin{gathered} \text{Divide both sides by 47} \\ (47x)/(47)=(1081)/(47) \\ x=23hours \end{gathered}`

Hence, the number of hours Janine worked is 23hours.