June has a total of 35 marbles. She has 4 times as many blue marbles as green marbles. She writes the following system of equations to represent the situation. {b+g=35 b=4g What method would you use to solve this equation? Explain your answer.

Mathematics · Middle School · Mon Jan 18 2021

Answered on

We have,

b+g=35     ..1

 b=4g        ..2

Using Substitution method : 

Putting value of b in equation 1, we get 

4g + g = 35

5g = 35

g = 35/5

g = 7

Now, putting value of g in equation 2, we get

b = 4 × 7

b = 28

 

Hence, June has 28 blue marbles and 7 green marbles.