The ratio of staff to patients at Lakeview is 8 to 7. If total staff plus patients is 1575 people,
how many staff are at Lakeview?
help me get started on how to solve this
the ratio is
8:7
= 8x:7x
then 8x+7x = 1575
solve for x, then calculate 7x
To solve this problem, you can start by setting up a proportion using the given ratio. The ratio of staff to patients at Lakeview is 8 to 7, which can be expressed as:
8/7 = x/1575
Here, x represents the total number of staff at Lakeview. To find the number of staff, you can cross-multiply the ratio and solve for x.
To solve this problem, you need to use the given ratio and the total number of staff and patients to find the number of staff at Lakeview. Here's how you can do it:
Step 1: Write down the ratio of staff to patients. In this case, the ratio is 8 to 7, which can be written as 8:7.
Step 2: Calculate the total number of parts in the ratio. Add the two numbers in the ratio. In this case, 8 + 7 = 15.
Step 3: Determine the value of one part. Divide the total number of people (1575) by the total number of parts (15). This will give you the value of one part. 1575 / 15 = 105.
Step 4: Multiply the value of one part by the number of parts representing the staff. Since the staff is represented by 8 parts in the ratio, multiply 105 by 8 to find the number of staff members. 105 * 8 = 840.
Therefore, there are 840 staff members at Lakeview.