Juan saved 1/4 of the lemons and spent 1/2 of the remaining lemons to make a lemonade stand. He was then left with $12. How many lemons did Juan have at first?
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I know it may not make sense but it’s ok if it doesn’t make sense to you
To find out how many lemons Juan had at first, we can work backwards using the information given.
Let's assume the number of lemons Juan had at first is represented by "x."
Juan saved 1/4 of the lemons. This means he had 3/4 of the lemons remaining after saving. So, 3/4 of x is equal to the number of lemons remaining.
He then spent 1/2 of the remaining lemons on the lemonade stand. This means he had 1/2 of the remaining lemons left after spending. So, 1/2 of 3/4x is equal to the number of lemons he had after spending.
We know that the number of lemons he had after spending is equal to $12. So, we can set up an equation:
1/2 * 3/4 * x = 12
To solve for x, we can simplify the equation:
3/8 * x = 12
To isolate x, we can multiply both sides of the equation by the reciprocal of 3/8, which is 8/3:
x = 12 * 8/3
x = 32
Therefore, Juan had 32 lemons at first.