Alandscaping company needs 160 gallons of 40% fertilize the shrubs in an office park. they have in stock 50% fertilizer and 30% fertilizer. how much of each type should they mix together?

Let

x> volume of 50​% fertilizer

y> volume of 30% fertilizer

we know that

x+y=160> x=160-y> equation 1

x*0.5+y*0.3=160*0.4> equation 2

substitute equation 1 in equation 2

[160-y]*0.5+0.3*y=63.8> 77-0.35*y+0.25*y=63.8

0.10*y=13.2> y=13.2/0.10> y=132 gal

x=220-y> x=220-132> x=88 gal

the answer is

88 gal of 50​% fertilizer

132 gal 30​% fertilizer

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12