Moonshine Problem: How many gallons of 20% moonshine and how many gallons of 30% moonshine have to be mixed together to make 100 gallons of 25%
moonshine?
(x
= gallons of 20% moonshine; y = gallons of 30% moonshine.
20% moonshine is called 20% because 20% of any amount (like x) is PURE
MOONSHINE!)

The amount of gallons of 20% of moonshine required = 50gallons

The amount of gallons of 30% of moonshine required = 50gallons

Explanation:

We need to determine the amount of gallons of 20% of moonshine and amount of 30% of moonshine that is required to make 100gallons of 25% moonshine mixture

x = amount of gallons of 20% moonshine

y = amount of gallons of 30% moonshine

x(20% of moonshine) + y(30% of moonshine) = 100(25% of moonshine)

0.2x + 0.3y = 100(0.25)

0.2x + 0.3y = 25 ...equation (1)

Also the addition of the amount of each concentration = amount of mixtures

x + y = 100 equation (2)

Using elimination method:

Multiply equation 2 by 0.2 in order to eliminate x

0.2x + 0.2y = 0.2(100)

0.2x + 0.2y = 20 ...equation (3)

Subtract equation 3 from 1

0.2x -0.2x + 0.3y - 0.2y = 25-20

0.1y = 5

y = 5/0.1 = 50

The amount of gallons of 30% of moonshine required = 50gallons

Substitute for y = 50 in equation 1

0.2x + 0.3(50) = 25

0.2x + 15 = 25

0.2x = 25-15

0.2x = 10

x = 10/0.2 = 100/2

x = 50

The amount of gallons of 20% of moonshine required = 50gallons

Therefore the 50 gallons of 20% of moonshine and 50 gallons of 30% of moonshine is required to make 100gallons of 25% moonshine mixture

this question is given using the conditional form. conditional tenses are is used when talking about hypothetical situations and probabilities. also, this is used when making polite requests. so comprarías is the conjugation of the verb comprar that matches the second person singular in the conditional. finally:

¿cuál comprarías tú?