The amount of lemons used to make lemonade varies directly with how many gallons are made. It takes 32 lemons to make 4 gallons. How many lemons will it take to make 17 gallons?
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let the number of lemons be l
let the number of gallons of lemonade be g
l = kg, where k is a constant
if l = 32, and g = 4
32 = 4k
k = 32/4 = 8
l = 8g
then if g = 17
l = 8(17) lemons = 136 lemons
or
l/17 = 32/4
l = 17(32/4) = 136
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To find out how many lemons will be needed to make 17 gallons of lemonade, we can set up a proportion using the given information.
Let's call the variable "x" the number of lemons required to make 17 gallons of lemonade.
The given information states that 32 lemons are needed to make 4 gallons of lemonade.
Using a ratio, we can set up the proportion as follows:
32 lemons / 4 gallons = x lemons / 17 gallons
To solve this proportion, we can cross-multiply:
4 * x = 32 * 17
Simplifying, we get:
4x = 544
Now, let's solve for x by dividing both sides of the equation by 4:
x = 544 / 4
x = 136
Therefore, it will take 136 lemons to make 17 gallons of lemonade.