Answer:
1st brand is 126 gallons
ans 2nd brand = 54 gallons
Explanation:
given data
first brand = 40%
second brand = 90%
mixture = 55%
mixture = 180 gallons
to find out
how many gallons of each brand
solution
we consider here 1st brand is = x and 2nd brand is y
so on mixing we get
total volume = x + y ...............1
put here value
180 = x + y .................2
and mixing equation will be
40 x + 90 y = 55 ( x+ y)
solve it we get
3 x = 7 y
x = [tex]\frac{7}{3}[/tex] y ........................3
put equation 3 in equation 2
180 = [tex]\frac{7}{3}[/tex] y + y
solve it we get
y = 54
and now put in equation 2 we get
180 = x + 54
x = 126
so
1st brand is 126 gallons
ans 2nd brand = 54 gallons