A bag contains green marbles and blue marbles, 55 in total. The number of green marbles is 7 more than 5 times the number of blue marbles. How many green marbles are there?

Step-by-step explanation:

Total marbles in bag = 55

Given that

The number of green marbles is 7 more than 5 times the number of blue marbles.

Let green marble be x

And blue marble be y

Therefore,

Green=seven more than 5 times blue

Green=7+5timesblue

x=7+5y. Equation 1

Also the sum of the marbles is 55

x+y=55. Equation 2

Substitute equation 1 into 2

7+5y+y=55

7+6y=55

6y=55-7

6y=48

y=48/6

y=8

From equation 2

x+y=55

Then, x=55-y

x=55-8

x=47

Then, green marbles is 47.

Also, Blue marbles is 8