In a jar the number of blue marbles = twice the number of red marbles! there are 24 more blue marbles than red. How many red and blue marbles are in the jar?
b = 2 r
b - r = 24
2 r - r = 24
r = 24
b = 48
To find the number of red and blue marbles in the jar, let's break down the information given:
1. The number of blue marbles is twice the number of red marbles.
2. There are 24 more blue marbles than red marbles.
Let's represent the number of red marbles as "R" and the number of blue marbles as "B".
From the first statement, we can write: B = 2R
From the second statement, we can write: B = R + 24
Now we have two equations representing the number of red and blue marbles. We can solve these equations simultaneously to find the values of R and B.
Substituting the value of B from the first equation into the second equation, we get:
2R = R + 24
Rearranging the equation, we get:
2R - R = 24
Simplifying, we have:
R = 24
Now that we know the value of R, we can substitute it back into the first equation to find B:
B = 2R = 2(24) = 48
Therefore, there are 24 red marbles and 48 blue marbles in the jar.