Wis said that she solved the problem [tex]$360 \div 12$[/tex] by dividing 36 by 12 and then multiplying her answer by 10. Write an expression to show her thinking.

[tex]36 \div 12 = 3 \quad 3 \times 10 = 30[/tex]

Lucas said he solved [tex]$360 \div 12$[/tex] by dividing 360 by 12 directly. Write an expression to show his thinking.

[tex]360 \div 12 = 30[/tex]

Who got the correct quotient (answer), Wis or Lucas?

Let's solve the problem step-by-step to determine who got the correct answer for [tex]$360 \div 12$[/tex].

Wis's Method (Julia):

1. Divide 36 by 12:
[tex]\[
36 \div 12 = 3
\][/tex]

2. Multiply the result by 10:
[tex]\[
3 \times 10 = 30
\][/tex]

So, Julia's final result is 30.

That said his solution (Lucas):

1. Multiply 12 by 3:
[tex]\[
12 \times 3 = 36
\][/tex]

2. Multiply the product by 10:
[tex]\[
36 \times 10 = 360
\][/tex]

So, Lucas’s final result is 360.

Determine the Correct Quotient:

Now, let's determine the correct answer for the original problem, [tex]$360 \div 12$[/tex], step-by-step:

1. Divide 360 by 12:
[tex]\[
360 \div 12 = 30
\][/tex]

Now, let's see who got the answer right:

- Julia's result is 30.
- Lucas’s result is 360.

Based on the correct quotient, Julia is the one who got the correct answer, which is 30.