contestada

A landscaping company needs
220 gallons of
29​% fertilizer to fertilize the shrubs in an office park. They have in stock
35​% fertilizer and
25​% fertilizer. How much of each type should they mix​ together?

Respuesta :

calculista
Let 
x--------> volume of 35​% fertilizer
y--------> volume of 25​% fertilizer

we know that
x+y=220-----> x=220-y-----> equation 1
x*0.35+y*.25=220*.29-----> equation 2

substitute equation 1 in equation 2
[220-y]*0.35+0.25*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 35​% fertilizer
132 gal 25​% fertilizer

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