Three girls shared a sum of money in the ratio 2:5:8, the girl with the most got
$120. How much was the initial sum of money
120 = 8*15
so the amounts each got are
2*15 : 5*15 : 8*15 = 30:75:120
now add all that up
Well, let's do some clown math! If the girl with the most money got $120, then we can represent the ratio as 2x:5x:8x, where 8x represents $120.
Now, to find out the initial sum of money, we need to solve for x:
8x = 120
Dividing both sides by 8, we get:
x = 120/8
x = 15
So, the initial sum of money is:
2x = 2 * 15 = 30
Ta-da! The initial sum of money was $30.
To find the initial sum of money, we need to determine the ratio between the amounts received by the girls.
Let's assume the amount received by the first girl in the ratio is 2x, the second girl received 5x, and the third girl received 8x.
We know that the third girl received $120 and according to the given ratio, she received 8x. So we can set up the equation:
8x = $120
To find the value of x, we can divide both sides of the equation by 8:
8x/8 = $120/8
x = $15
Now that we know the value of x, we can find the total initial sum of money received:
2x + 5x + 8x = 15(2 + 5 + 8) = 15(15) = $225
Therefore, the initial sum of money was $225.
To find the initial sum of money, we can set up an equation based on the given information.
Let's assign variables to represent the amounts received by each girl. Let's call the amount received by the first girl 2x, the amount received by the second girl 5x, and the amount received by the third girl 8x.
According to the given information, the third girl received $120, so we can write the equation:
8x = $120
To solve for x, we divide both sides of the equation by 8:
8x/8 = $120/8
x = $15
Now that we know the value of x, we can find the initial sum of money by calculating:
2x + 5x + 8x = initial sum of money
2($15) + 5($15) + 8($15) = initial sum of money
$30 + $75 + $120 = initial sum of money
$225 = initial sum of money
Therefore, the initial sum of money is $225.