George has 25 marbles. he wants to divide them into two amounts hat show a ratio of 2:3 how many marbles are in each group?
2/5 - x/25
5x = 50
x = 10
The smaller amount has 10 marbles.
2+3 = 5
so
2/5
and
3/5
2/5 = 10/25
3/5 = 15/25
check:
10 + 15 = 25 yes
10/15 = 2/3 check :)
To divide the marbles into two amounts showing a ratio of 2:3, we first need to calculate the total number of parts in the ratio. In this case, the ratio is 2:3, so there are a total of 2+3=5 parts.
Next, we need to determine the value of each part. To do this, we divide the total number of marbles (25) by the total number of parts (5). Therefore, each part is equal to 25/5 = 5 marbles.
Now, we can find the number of marbles in each group by multiplying the value of each part by the corresponding part in the ratio.
For the first group (with a ratio of 2), we multiply 2 (ratio part) by 5 (value of each part) to get 2*5 = 10 marbles.
For the second group (with a ratio of 3), we multiply 3 (ratio part) by 5 (value of each part) to get 3*5 = 15 marbles.
So, there are 10 marbles in the first group and 15 marbles in the second group.