A bag contains yellow marbles and blue marbles, 37 in total. The number of yellow marbles is 7 more than 5 times the number of blue marbles. How many yellow marbles are there?

32

Step-by-step explanation:

let b represent the number of blue marbles then

yellow = 5b + 7 and

b + 5b + 7 = 37, that is

6b + 7 = 37 (subtract 7 from both sides)

6b = 30 (divide both sides by 6)

b = 5

Thus there are 5 blue and 5 (5) + 7 = 25 + 7 = 32 yellow marbles