MATH SOLVE

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

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