Here is how to get the answer to "What two numbers have a product of 96 and a quotient of 5?" 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 96, means:
x • y = 96
Equation 2: Two numbers have a quotient of 5, means:
x / y = 5
x = 5y
Then, we put Equation 2 into Equation 1. We do this by substituting x in x • y = 96 with 5y, like this:
x • y = 96
5y • y = 96
y = 4.38178
Finally, since y = 4.38178, we put 4.38178 into Equation 1 by substituting y in x • y = 96 with 4.38178, like this:
x • 4.38178 = 96
x = 21.908902
Thus, the answer is "4.38178 and 21.908902" as illustrated here:
21.908902 • 4.38178 = 96
21.908902 / 4.38178 = 5
Note: Answers are rounded up to the nearest 6 decimals if necessary, so the answers may not be exact.
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