write an equation for a number multiplied by 8 and divided by four gives 7 more than the number

Question

write an equation for a number multiplied by 8 and divided by four gives 7 more than the number

Answer 1

Hi Alyssa--

 

call your number n.

 

n multiplied by 8 = 8n, which you then divide by 4 and get 2n

 

2n = n + 7 so

 

2n - n = 7, so

 

n = 7.

 

Thought of another way, "multiplied by 8 and divided by 4" is the same as "multiplied by 2."

 

To check that 7 is correct:  7 x 8 = 56, divided by 4 = 14, which equals 7 + 7.

 

Hope this helps!

 

Matt in NY