Translate the following text into an equation involving ratios and solve it. " Anne is paid $45 per hour, if she works 55 hours in a particular week, how much will she be paid that week?
45/1 = x/55
Cross multiply and solve for x.
Ralph earns $20 per hour during the week and $30 per hour for overtime on the weekends. One week Ralph earned a total of $650. He worked 5 times as many hours during the week as he did on the weekend
To translate the given situation into an equation involving ratios, we can set up the following relationship:
"Anne's pay per hour" is to "Anne's total pay for the week" as "hours worked" is to "total hours in a week."
Let's define our variables:
- Anne's pay per hour: $45
- Anne's total pay for the week: Let's call this variable "P"
- Hours worked: 55
- Total hours in a week: Let's call this variable "T"
We want to find the value of P, which represents Anne's total pay for the week.
Now, we can set up the equation using the ratio:
$45 / P = 55 / T
To solve for P, we need to know the value of T, the total hours in a week. Without this information, we cannot obtain the exact value of Anne's total pay for the week.
However, if we assume that the total hours in a week is 40 (which is a common assumption for a standard workweek), we can calculate P as follows:
$45 / P = 55 / 40
To isolate P, we can cross-multiply:
$45 * 40 = 55 * P
1800 = 55P
Dividing both sides of the equation by 55:
1800 / 55 = P
P ≈ $32.73
Therefore, assuming a total of 40 hours in the week, Anne would be paid approximately $32.73 for that week.