There are 40 yellow and blue marbles in a bag. There are 4 times as many blue marbles as yellow marbles.
How many yellow marbles are there? 5
How many blue marbles are there? 35
No.
5 * 4 = 20
Let y = yellow marbles
y + 4y = 40
5y = 40
y = 8
35 is not 4 times 5
4x + x = 40
5 x = 40
x = 8 yellow
4x = 32 blue
To find the number of yellow marbles, we need to solve the equation. Let's call the number of yellow marbles "Y" and the number of blue marbles "B". We are given two pieces of information:
1) There are 40 marbles in total: Y + B = 40.
2) There are 4 times as many blue marbles as yellow marbles: B = 4Y.
To solve for Y, we can substitute the second equation into the first equation:
Y + 4Y = 40.
Combine like terms:
5Y = 40.
Divide both sides by 5:
Y = 8.
Therefore, there are 8 yellow marbles.