t takes 1 cup of liquid fertilizer to make 7 1/2 gallons of spray. how much liquid fertilizer is needed to make 80 gallons of spray?
Plzzzzzzzz help me its really hard for me
To solve this problem, we can set up a proportion. A proportion is a statement that two ratios are equal.
In this case, we have the ratio of 1 cup of liquid fertilizer to 7 1/2 gallons of spray. We want to find out how much liquid fertilizer is needed for 80 gallons of spray.
Let's label the unknown amount of liquid fertilizer as "x". We can set up the proportion like this:
1 cup / 7 1/2 gallons = x cups / 80 gallons
Now we can cross-multiply and solve for "x":
(1 cup) * (80 gallons) = (7 1/2 gallons) * (x cups)
80 cups = (15/2) * x
To isolate "x", we can divide both sides of the equation by (15/2):
x = (80 cups) / (15/2)
To simplify the division of fractions, we can multiply the numerator (80 cups) by the reciprocal of the denominator (2/15):
x = (80 cups) * (2/15)
x = (160/15) cups
Now, we can simplify this fraction by dividing the numerator by the denominator:
x = 10 2/15 cups
Therefore, to make 80 gallons of spray, you would need approximately 10 2/15 cups of liquid fertilizer.
1/7.5 = x/80
Cross multiply and solve for x.