Question

103 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.

Let x be the number of blue marbles. The number of green marbles is x + 27.

a) x+(x+27)=103
b) 2x+27=103
c) 2x=76
d) x=38

Answer 1

To find the number of green marbles and blue marbles in the bag, subtract 27 from the total number of marbles and divide the result by 2.

Step-by-step explanation:

To find the number of green marbles and blue marbles in the bag, we can set up an equation based on the information given. Let x be the number of blue marbles. According to the question, there are 27 more green marbles than blue marbles, so the number of green marbles is x + 27. Since the total number of marbles in the bag is 103, we can set up the equation:

x + (x + 27) = 103

Simplifying the equation, we get:

2x + 27 = 103

Subtracting 27 from both sides, we have:

2x = 76

Dividing both sides by 2, we find:

x = 38

So, there are 38 blue marbles and 38 + 27 = 65 green marbles in the bag.