The ratio of staff to patients at Lakeview is 8 to 7. If the total staff plus patients is 1575 people, how many staff are at Lakeview?
I do not know how to work with ratios, can anyone help?
Of 15, 8 are staff, 7 are patients:
How many 15's are there in 1575?
1575/15=106
so staff= 106*8
and patients= 106*?
Ok, I got that there are 105 15's in 1575 making the rest 105*8=840
105*7=735
right?
right.
Sure, I can help you with that! To find the number of staff at Lakeview, we can start by understanding the given ratio: 8 to 7.
The ratio of 8 to 7 means that for every 8 staff members, there are 7 patients at Lakeview.
Now, let's break down the information given in the problem. We know that the total number of staff and patients combined is 1575 people.
To find the number of staff members at Lakeview, we need to determine the portion of this total that represents the staff members. Since the ratio of staff to patients is 8 to 7, the total ratio can be expressed as 8 + 7 = 15.
To find the fraction of the total that represents the staff members, we can set up the following proportion:
x (staff members) / 1575 (total) = 8 (staff ratio) / 15 (total ratio)
Now we can solve for x, the number of staff members:
x/1575 = 8/15
To isolate x, cross-multiply:
15x = 8 * 1575
Finally, divide both sides by 15 to solve for x:
x = (8 * 1575) / 15
With a little calculation, we find that x is equal to 840.
Therefore, there are 840 staff members at Lakeview.