Question

A bag is filled with green and blue marbles. There are 37 marbles in the bag. If there are 9 more green marbles than blue marbles find the number of green marblea and the numbernof blue marbles in the bag

Answer 1

...x= blue marbles

x+9 = green marbles

2x+9=37

2x=37-9=28

x=14

14 blue marbles, 23 green marbles

Explanation:

Answer 2

23 green and 14 blue marbles

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Let the number of green marbles be g and blue marbles be b.

Total number is 37:

• g + b = 37

There are 9 more green marbles than blue:

• g = b + 9

Substitute this into the first equation:

• b + 9 + b = 37
• 2b + 9 = 37
• 2b = 28
• b = 14

Find the number of green marbles by substituting back the value of b:

• g = 14 + 9
• g = 23