Answer:
there are 41 white marbles in the bag.
Explanation:
Let's use the variable w to represent the number of white marbles and y to represent the number of yellow marbles.
From the problem, we know that:
w + y = 49 (since there are 49 marbles in total)
And we also know that:
w = 5y + 1 (since the number of white marbles is 1 more than 5 times the number of yellow marbles)
Now we can use substitution to solve for w:
w + y = 49
(5y + 1) + y = 49 (substitute w = 5y + 1)
6y + 1 = 49 (combine like terms)
6y = 48 (subtract 1 from both sides)
y = 8 (divide both sides by 6)
Now we know there are 8 yellow marbles. We can use this information to find the number of white marbles:
w = 5y + 1
w = 5(8) + 1
w = 41