The roots of 54 are: 1 and 54, 2 and 27, 3 and 18, 6 and 9, then it restarts all over again.
The two numbers have to multiply up to 54, and add up to 3. 9 and 6 have a difference of 3, and the multiplied sum is negative, so this is your pair.
9 and -6 fit this criteria, since they add up to 3 and multiply to 64.
To multiply two fractions:
-- Multiply their numerators; the product is the numerator of the new fraction.
9 x 7 = 63 ; the new fraction is (63) / (something)
-- Multiply their denominators; the product is the denominator of the new fraction.
1 x 10 = 10 ; the new fraction is <em>63/10</em> .
The product of the two original fractions is 63/10 , or <em>6.3</em> .
Children : 144
Adults : 51
Explanation
Step 1
Set the equations
let
x represents the number of children
y represents the number of adults
charge per child:8
charge per adult:11
total people:195
then
a)the total people is 195, so

b) the total bill was $1713,so
total childrend +total adults=173
but,
total adults cost= rate*number of adults
total children cost= rate*number of childe
replacing

Step 2
solve the equations,

a) isolate the x value from equation 81) and replace in eqaution (2)

replace in equation (2)

therefore, the number of adults is 51
b) now, replace the y value into equation (1) to find x

so, the number of children is 144
I hope this helps you
(p)m=n+x/p(p)
mp-n=n+x-n
mp-n=x