Is there are 56 white marbles in a jar and there are 7 times as many white marbles as blue marbles in the jar write and solve an equation to find the number of blue marbles
Let's assume the number of blue marbles in the jar is "x". According to the information given, there are 7 times as many white marbles as blue marbles.
So, the number of white marbles would be 7 times the number of blue marbles, or 7x.
The total number of marbles in the jar is given as 56, which is the sum of the white and blue marbles.
Therefore, the equation becomes:
x + 7x = 56
Combining like terms:
8x = 56
To solve for x, we divide both sides of the equation by 8:
x = 56 / 8
x = 7
So, there are 7 blue marbles in the jar.
To solve this problem, let's start by assigning variables to represent the unknown quantities. Let's use "w" to represent the number of white marbles and "b" to represent the number of blue marbles.
Given that there are 56 white marbles in the jar and that there are 7 times as many white marbles as blue marbles, we can write the equation 7b = w.
Now we can substitute the value of "w" in terms of "b" into the equation. Since we know there are 56 white marbles, we have: 7b = 56.
To solve for "b," divide both sides of the equation by 7: b = 56 / 7.
Simplifying the division, we find that b = 8. Therefore, there are 8 blue marbles in the jar.
b + 7b = 56
8b = 56
b = 56/8
b = _______ blue marbles