Question

Joe multiplies a number by 4, adds 1, and then divides by 3, getting a result of 7. Sue divides the same original number by 3, adds 1, and multiplies by 4. What result does she get? Express your answer as a common tion.

a) 2/3
b) 3/4
c) 1/2
d) 1/3

Answer 1

Sue's result is 16.

Step-by-step explanation:

To find the result that Sue gets, we need to follow the order of operations. First, she divides the original number by 3. Then, she adds 1. Finally, she multiplies by 4. Let's say the original number is x. So, Sue's calculation would be (x/3) + 1, and then multiplying the result by 4.

Now, since we already know the result of Joe's calculation (7), we can equate it to Sue's calculation.

(x/3) + 1 * 4 = 7

To solve this equation, we need to simplify it step by step: multiply 1 by 4, then add it to x/3, and finally, isolate x.

(x/3 + 4) = 7

Multiplying both sides by 3 gives x + 12 = 21. Subtracting 12 from both sides gives x = 9. So, the original number is 9.

Now we can find Sue's result by substituting x back into her calculation:

((9/3) + 1) * 4 = 4 * 4 = 16

Therefore, Sue's result is 16. The correct answer is option b) 3/4.