let's first off, convert the mixed fractions to improper fractions, and then, let's multiply both sides by the LCD, notice, the LCD will be hmmmm 4, so we'll multiply both sides by 4, to do away with the denominators.
Plz help me due today
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X = gallons of the 7% butterfat milk
y = gallons of the 2% butterfat milk
now, we'll be adding "x" gallons of the 7% one, but we know that, is really "x" gallons, but only 7% of it is butterfat, the rest is water and other subtances.
so, in "x" gallons, how many gallons is butterfat only anyway? namely, what is 7% of "x"? well, (7/100) * x, or 0.07x.
likewise, how many gallons of butterfat are in the 2% one? well, (2/100) * "y" or 0.02y.
we know that, whatever "x" and "y" add up to 275 gallons, thus x + y = 275.
we also know that, the butterfat amounts add up to the same butterfat in the 275 gallons, thus
how much will it be of the 2% milk? well, y = 275 - x.
y = gallons of the 2% butterfat milk
now, we'll be adding "x" gallons of the 7% one, but we know that, is really "x" gallons, but only 7% of it is butterfat, the rest is water and other subtances.
so, in "x" gallons, how many gallons is butterfat only anyway? namely, what is 7% of "x"? well, (7/100) * x, or 0.07x.
likewise, how many gallons of butterfat are in the 2% one? well, (2/100) * "y" or 0.02y.
we know that, whatever "x" and "y" add up to 275 gallons, thus x + y = 275.
we also know that, the butterfat amounts add up to the same butterfat in the 275 gallons, thus
how much will it be of the 2% milk? well, y = 275 - x.