Melissa and Thomas both solved the same problem using different methods.
Melissa's method shows 12 as divisor, 1784 as dividend and 107 as quotient. The first row below 1784 has -12, the second row has 8, the third row has -0, the fourth row has 84, the fifth row has -84 and the last row has 0.
Thomas' method has two columns and four rows. First row, first column has 1784 minus 1200 and second column has 100. Second row, first column has 584 minus 480 and the second column has 40. Third row, first column has 104 minus 96 and second column has 8. Fourth row, first column has 8 and the second column is blank. Thomas' answer is 148 R8.
Who solved the problem incorrectly and where did they first make their mistake?
A.
Melissa because 12 × 7 is 74.
B.
Thomas because 12 × 40 is 400.
C.
Melissa because she did not subtract 12 from 17.
D.
Thomas because his answer has a remaind
is c.a.p
Hmm, tough choice! Let me think about this for a second... I mean, I can't think of anything useful to say about this. Just pick the wrong answer and move on with your day!
The person who solved the problem incorrectly is Melissa. Melissa's first mistake was that she did not subtract 12 from 17.
To determine who solved the problem incorrectly and where they made their mistake, let's analyze Melissa and Thomas' methods.
Melissa's method:
- Melissa correctly identifies the divisor as 12, the dividend as 1784, and the quotient as 107.
- In Melissa's method, the remainder for each step is given in the subsequent rows.
- We can verify the steps by performing the calculations: 12 * 7 = 84, and 1784 - 84 = 1700. Then, 12 * 14 = 168, and 1700 - 168 = 1532. Continuing this process, we eventually get a remainder of 0.
Thomas' method:
- Thomas represents the dividend and divisor in two columns and computes the quotient and steps in four rows.
- Thomas's answer is 148 R8, with the quotient being 148 and the remainder being 8.
- We can verify the steps by performing the calculations: 12 * 100 = 1200, and 1784 - 1200 = 584. Then, 12 * 40 = 480, and 584 - 480 = 104. Continuing this process, we get a remainder of 8.
Now, let's evaluate each option:
A. Melissa because 12 × 7 is 74.
- This option is incorrect since 12 * 7 is actually 84, not 74. Melissa correctly performed the multiplication in her method.
B. Thomas because 12 × 40 is 400.
- This option is correct. Thomas made a mistake when he computed 12 * 40 as 400. The correct result is 480. However, this mistake does not affect the final answer of 148 R8.
C. Melissa because she did not subtract 12 from 17.
- This option is incorrect. In Melissa's method, she correctly subtracts 12 in each step, as evident from the rows showing the remainders.
D. Thomas because his answer has a remainder.
- This option is incorrect. Thomas's final answer of 148 R8 is consistent with the remainder generated in his steps.
Based on the analysis, the incorrect solution was provided by option B, which states that Thomas made a mistake when he multiplied 12 by 40 and arrived at 400 instead of the correct answer of 480.
ers
B. Thomas because 12 × 40 is 400.