Mathematics: How many gallons of fuel costing 3.35 per gallon must be mixed with 20 gallons of fuel costing 3.85 per callonm to be obtain misrure costing 3.55?

How many gallons of fuel costing 3.35 per gallon

bigdramm409

12.03.2022

30 gallons of fuel costing 3.35 per gallon must be mixed.

Explanation

Suppose, gallons of fuel costing 3.35 per gallon must be mixed with 20 gallons of another fuel costing 3.85 per gallon.

So, the total amount of the mixture =(x+20) gallons and the cost of the mixture is 3.55 per gallon.

So, the equation will be....

$3.35x+(3.85*20)=3.55(x+20)\\ \\ 3.35x+77=3.55x+71\\ \\ 3.35x-3.55x=71-77\\ \\ -0.20x=-6\\ \\ x= \frac{-6}{-0.20}=30$

So, 30 gallons of fuel costing 3.35 per gallon must be mixed.

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xscape0mari

05.11.2021

Step-by-step explanation:

surface are of cuboid=2(lb+bh+hl)

=2(14*12+12*6+6*14)

=2(168+72+84)

=2*324

=648 in.^2

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