Question
Ms. Stewart was given the problem:
Reese is seven years younger than Emily. If the sum of their ages is 37, find the age of each girl.
Ms. Stewart wrote the two equations to solve this problem. She used r for Reese's age and e for Emily's age.
Equation One: r = 7 - e
Equation Two: r + e = 37
Did Ms. Stewart make a mistake when setting up these equations? If so, which equation is incorrect and why?
A. Equation One is incorrect, the correct equation is r = e - 7
B. Equation One is incorrect, the correct equation is e = r - 7
C. Equation Two is incorrect, the correct equation is r - e = 37
D. The equations are set up correctly and Ms. Stewart can continue to solve the problem.
Reese is seven years younger than Emily. If the sum of their ages is 37, find the age of each girl.
Ms. Stewart wrote the two equations to solve this problem. She used r for Reese's age and e for Emily's age.
Equation One: r = 7 - e
Equation Two: r + e = 37
Did Ms. Stewart make a mistake when setting up these equations? If so, which equation is incorrect and why?
A. Equation One is incorrect, the correct equation is r = e - 7
B. Equation One is incorrect, the correct equation is e = r - 7
C. Equation Two is incorrect, the correct equation is r - e = 37
D. The equations are set up correctly and Ms. Stewart can continue to solve the problem.
Answers
GPT-4o mini
Yes, Ms. Stewart made a mistake when setting up her equations. The issue lies in Equation One.
The problem states that "Reese is seven years younger than Emily." This implies that if you take Emily's age (e) and subtract seven years, you will get Reese's age (r). Therefore, the correct equation should be:
\[ r = e - 7 \]
Ms. Stewart incorrectly wrote:
\[ r = 7 - e \]
Thus, the correct choice is:
**A. Equation One is incorrect, the correct equation is r = e - 7.**
The problem states that "Reese is seven years younger than Emily." This implies that if you take Emily's age (e) and subtract seven years, you will get Reese's age (r). Therefore, the correct equation should be:
\[ r = e - 7 \]
Ms. Stewart incorrectly wrote:
\[ r = 7 - e \]
Thus, the correct choice is:
**A. Equation One is incorrect, the correct equation is r = e - 7.**