Here is how to get the answer to "What two numbers have a product of 50 and a quotient of 80?" We show you step-by-step how find the answer so you can solve problems like this on your own in the future.
We will call the two numbers we are looking for x and y, and we will start by making two equations like this:
Equation 1: Two numbers have a product of 50, means:
x • y = 50
Equation 2: Two numbers have a quotient of 80, means:
x / y = 80
x = 80y
Then, we put Equation 2 into Equation 1. We do this by substituting x in x • y = 50 with 80y, like this:
x • y = 50
80y • y = 50
y = 0.790569
Finally, since y = 0.790569, we put 0.790569 into Equation 1 by substituting y in x • y = 50 with 0.790569, like this:
x • 0.790569 = 50
x = 63.245553
Thus, the answer is "0.790569 and 63.245553" as illustrated here:
63.245553 • 0.790569 = 50
63.245553 / 0.790569 = 80
Note: Answers are rounded up to the nearest 6 decimals if necessary, so the answers may not be exact.
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