180k views
1 vote
cindy was asked by her teacher to subtract 3 from a certain number and then divide the result by 9. Instead, she subtracted 9 and then divided the result by 3, giving an answer of 34. what would her answer have been if she had worked the problem correctly?

User SSEMember
by
8.0k points

1 Answer

6 votes

Answer:

Explanation:

First let's look at the operation that the teacher asked Cindy

  • Subtract 3 from a certain number

Let's call the certain number X


3-x

  • Divide the result by 9


(x-3)/(9)

Now let's see the operation that Cindy did

  • She subtracted 9


x-9

  • Divided the result by 3, giving an answer of 34


(x-9)/(3)=34

From the operation that Cindy did we can clear the value of x


(x-9)/(3)= 34\\ x-9= 3(34)\\x-9= 102\\x=102+9\\x= 111

Now we substitute the value of x obtained in the operation that the teacher said to find the answer if she had worked the problem correctly.


(x-3)/(9)\\(111-3)/(9) \\(108)/(9)= 12

User Manoel Vilela
by
8.4k points

No related questions found