Question

current learning objective: setting up a linear equation to solve a real - world application
question 15
score: 0 of 1 point
a bag is filled with green and blue marbles. there are 53 marbles in the bag. if there are 29 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: enter your answer
the number of green marbles is: enter your answer
submit answer attempts: 0/1
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Explanation:

Step1: Define variables

Let the number of blue marbles be $x$. Then the number of green marbles is $x + 29$.

Step2: Set up equation

The total number of marbles is 53, so $x+(x + 29)=53$.

Step3: Simplify equation

Combine like - terms: $2x+29 = 53$.

Step4: Solve for x

Subtract 29 from both sides: $2x=53 - 29$, so $2x = 24$. Then divide both sides by 2: $x=\frac{24}{2}=12$.

Step5: Find number of green marbles

The number of green marbles is $x + 29$. Substitute $x = 12$ into it, we get $12+29 = 41$.

Answer:

The number of blue marbles is: 12
The number of green marbles is: 41