Question

Deep thought granola is 25% nuts and dried fruit. Oat Dreams granola is 10% nuts and dried fruit. How much of deep though and how much oats dream she be mixed to form a 20lbs bath of granola that is 19% nuts and dried fruit?

Answer 1

set up a table
lbs percent product
x 25% .25x
y 10% .10y
_____________________________
20 19% 20*.19

set up equations
x+y = 20
.25x + .1y = 20*.19

solve by substitution

Answer 2

I am late here....what to sub?

Answer 3

if x+y=20, then y=20-x
so sub y=20-x whereever you see an x in your second equation

Answer 4

wherever you see a y*

Answer 5

.25*20=5

Answer 6

(i) x+y = 20
(ii) .25x + .1y = 20*.19
From (i) y = 20-x
replace this with y from (ii)
.25x +.1(20-x) = 3.8
distribute
.25x +2 -.1x =3.8
add like terms
.15x +2 = 3.8
.15x = 1.8
x = 12