a bag is filled with green and blue marbles. there are 115 marbles in the bag. if there are 27 more green marbles than blue marbles, find the number of green marbles and the number of blue marbles in the bag.

the number of blue marbles is :

the number of green marbles is :

Question

a bag is filled with green and blue marbles. there are 115 marbles in the bag. if there are 27 more green marbles than blue marbles, find the number of green marbles and the number of blue marbles in the bag.

the number of blue marbles is :

the number of green marbles is :

the number of blue marbles is :

the number of green marbles is :

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Algebraic Translation", "System of Linear Equations" ], "new_concepts": [], "current_concepts": [ "Algebraic Translation", "System of Linear Equations", "Linear Word Problems" ] } ## Translate the word problem into equations Using the *Algebraic Translation* knowledge point $$ \begin{aligned} &g + b = 115\ &g = b + 27 \end{aligned} $$ ## Solve the system of equations Using the *System of Linear Equations* knowledge point $$ \begin{aligned} &(b + 27) + b = 115\ &2b + 27 = 115\ &2b = 88\ &b = 44\ &g = 44 + 27 = 71 \end{aligned} $$ A bag is filled with green and blue marbles. There are 115 marbles in the bag. If there are 27 more green marbles than blue marbles, find the number of green marbles and the number of blue marbles in the bag. The number of blue marbles is : 44 The number of green marbles is: 71 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "System of Linear Equations" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Translate the word problem into equations

Solve the system of equations

Answer: