Answer:
5/16=s/32
Step-by-step explanation:
What we know:
- a school team has 80 swimmers
The ratio of 7th grade swimmers to every swimmer in their school (counting all the grades) is 5:16. Write a proportion of this for a value of s.
a ratio can also be expressed in a fraction by simply putting it from x:y to x/y
so, the ratio 5:16 can also be expressed as 5/16.
note: let sgs represent seventh grade swimmers.
also, let x represent the value of the equivalent amount of swimmers (in the denominator that serves as a value for the proportion of 5/16.
we need to find:
5 sgs/16 swimmers = s amount of sgs/x
5/16=s/x
equivalent fractions could literally be anything, just multiply that ratio by a value equal to one; ex 4/4, or 16/16, or 2/2.
the simplest proportion is to multiply 5/16 by 2/2.
5/16*(2/2)=s/x
10/32=s/x
so s=10 and x=32 but we only need to know x cuz your problem doesn't have a box to answer the s=10.
so... 5/16=s/32.
