Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

{:[m+p=23],[m-7=p]:} The given system of equations relates m, the number of shirts Mara owns, and p, the number of shirts Phil owns. Which of the following is the best interpretation of the number 7 in the system? Choose 1 answer: A Mara owns 7 more shirts than Phil does. (B) Phil owns 7 more shirts than Mara does. (c) Mara owns 7 shirts. (D) Phil owns 7 shirts.

m+p=23m−7=p \begin{array}{l} m+p=23 \\ m-7=p \end{array} \newlineThe given system of equations relates m m , the number of shirts Mara owns, and p p , the number of shirts Phil owns. Which of the following is the best interpretation of the number 77 in the system?\newlineChoose 11 answer:\newline(A) Mara owns 77 more shirts than Phil does.\newline(B) Phil owns 77 more shirts than Mara does.\newline(C) Mara owns 77 shirts.\newline(D) Phil owns 77 shirts.

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Solve a system of equations using substitution: word problemsright chevron icon

Full solution

Q. m+p=23m−7=p \begin{array}{l} m+p=23 \\ m-7=p \end{array} \newlineThe given system of equations relates m m , the number of shirts Mara owns, and p p , the number of shirts Phil owns. Which of the following is the best interpretation of the number 77 in the system?\newlineChoose 11 answer:\newline(A) Mara owns 77 more shirts than Phil does.\newline(B) Phil owns 77 more shirts than Mara does.\newline(C) Mara owns 77 shirts.\newline(D) Phil owns 77 shirts.
  1. Equations: The system of equations is:\newline11. m+p=23m + p = 23\newline22. m−7=pm - 7 = p\newlineLet's interpret the second equation to understand the meaning of the number 77.
  2. Interpreting the Second Equation: The second equation can be rewritten as:\newlinem=p+7m = p + 7\newlineThis means that Mara owns 77 more shirts than Phil does.
  3. Matching the Interpretation: Now, let's check the answer choices to see which one matches our interpretation:\newlineA) Mara owns 77 more shirts than Phil does. - This matches our interpretation.\newlineB) Phil owns 77 more shirts than Mara does. - This does not match our interpretation.\newlineC) Mara owns 77 shirts. - This is not what the equation says.\newlineD) Phil owns 77 shirts. - This is not what the equation says.
  4. Correct Answer: Therefore, the correct answer is:\newlineA) Mara owns 77 more shirts than Phil does.

More problems from Solve a system of equations using substitution: word problems

Question
Solve using elimination.\newlinex+6y=−15x + 6y = -15\newline−2x+6y=12-2x + 6y = 12\newline(_,_)(\_,\_)
Get tutor helpright-arrow

Posted 5 months ago

Question
Is (1,1)(1,1) a solution to this system of equations?\newline8x+y=98x + y = 9\newline6x+12y=186x + 12y = 18\newlineChoices:\newline[[yes]\newline[no]]
Get tutor helpright-arrow

Posted 5 months ago

Question
How many solutions does the system of equations below have?\newliney = x − 77\newliney = x − 77\newlineChoices:\newline[A]no solution\text{[A]no solution}\newline[B]one solution\text{[B]one solution}\newline[C]infinitely many solutions\text{[C]infinitely many solutions}
Get tutor helpright-arrow

Posted 7 months ago

Question
Which describes the system of equations below?\newliney=17x−10y = \frac{1}{7}x - 10\newliney=17x−10y = \frac{1}{7}x - 10\newlineChoices:\newline[A]consistent and independent\text{[A]consistent and independent}\newline[B]consistent and dependent\text{[B]consistent and dependent}\newline[C]inconsistent\text{[C]inconsistent}
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve using substitution.\newliney=−5y = -5\newline−4x+3y=17-4x + 3y = 17\newline(_____, _____)
Get tutor helpright-arrow

Posted 5 months ago

Question
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.\newlineLast Wednesday, two friends met up after school to read the book they were both assigned in Literature class. Bryan can read 22 pages per minute, and he had already read 9898 pages. Jayla, who has a reading speed of 33 pages per minute, had read 4848 pages. Eventually they had read the same number of pages. How long did that take? How many pages had each of them read?\newlineAfter ____\_\_\_\_ minutes, Bryan and Jayla had each read ____\_\_\_\_ pages.
Get tutor helpright-arrow

Posted 5 months ago

Question
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.\newlineAt the Castroville Ice Cream Parlor, one group of friends ordered 11 small serving of ice cream and 33 large servings of ice cream for 2020. Another group of friends ordered 11 small serving of ice cream and 44 large servings of ice cream for 2626. How much does the ice cream cost?\newlineThe ice cream costs `\$`_____ for a small serving and `\$`_____ for a large serving.
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve.\newliney=−1y = -1\newline−2x−4y=8-2x - 4y = 8\newline(_____ , _____)
Get tutor helpright-arrow

Posted 7 months ago

Question
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.\newlineThere are two mystery numbers. The sum of 33 times the first number and 33 times the second number is −18-18. The sum of 22 times the first number and 33 times the second number is −13-13. What are the two numbers?\newlineThe first number is ______ , and the second number is ______.
Get tutor helpright-arrow

Posted 7 months ago

Question
A teacher purchased 300300 colored pencils for an upcoming project. The pencils she ordered come in packs of 2020 and packs of 3030. She ordered 1414 packs in all. Write a system of equations to find the number of 2020-pencil packs (x)(x) and 3030-pencil packs (y)(y) the art teacher ordered.
Get tutor helpright-arrow

Posted 8 months ago

View all (105)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant