Question

artie multiplies a number by 4 and then adds 3. alice first add 3 to the same number and then multiplies it by 4. alice's answer is ___ more than Artie's number.

Answer 1

Alice's answer is 15 more than Artie's number.

Explanation:

The number initially is x.

Artie's number:

Multiplies by 4, so 4x.

Subtracts 3, so 4x - 3.

Alice's number:

Adds 3, so x + 3.

Multiplies by 4, so 4(x + 3) = 4x + 12

Alice's number is how much more than Artie's?

We subtract Alice's number by Artie's number.

4x + 12 - (4x - 3) = 4x + 12 - 4x + 3 = 15

Alice's answer is 15 more than Artie's number.