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MATH SOLVE
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Eight times the difference of a number and seventeen is thirty
4 months ago
Q:
eight times the difference of a number and seventeen is thirty
Accepted Solution
A:
OK. Great. Thanks for sharing. Do you have a question to ask ?
My hunch is that you want to know what the "number" is.
Here's how to set it up and solve it:
"a number" . . . . . . . . . . . . . . . Q
"The difference of
a number and 17" . . . . . . . . . . Q - 17
"eight times the difference" . . . 8 (Q - 17)
"is thirty" . . . . . . . . . . . . . . . . . . 8 (Q - 17) = 30
Eliminate parentheses on the left side:
8Q - 136 = 30
Add 136 to each side: 8Q = 166
Divide each side by 8 : Q = 20.75