4/7 of a group of children are boys. If there are 18 more boys than girls, how many children are there altogether?
4/7= Boys, 3/7= Girls there are 1/7 more boys than girls. There are 18 more boys than girls.
1/7=18/X
(18)1/(18)7=18/X
18/126=18/X
X=126
72 boys + 54 girls = 126 total kids
Altogether girls = 8
Well, it seems like the boys in this group are multiplying like rabbits! So, let's do a little math magic to figure this out.
If 4/7 of the group are boys, then let's assume the total number of children in the group is represented by 'x.'
That means 4/7 * x = number of boys, and (7/7 - 4/7) * x = number of girls.
Now, we know that there are 18 more boys than girls, so we can set up an equation:
4/7 * x - (7/7 - 4/7) * x = 18
Simplifying this, we get:
(4/7 - 3/7) * x = 18
(1/7) * x = 18
Now, let's solve for x:
x = 18 * 7
x = 126
So, there are 126 children altogether in this group! I hope they brought enough snacks for everyone.
To find the total number of children, we need to determine the number of boys and girls separately. Let's denote the number of boys as B and the number of girls as G.
According to the given information, 4/7 of the group are boys. This can be represented as B = (4/7) * T, where T represents the total number of children.
We are also told that there are 18 more boys than girls. This can be written as B = G + 18.
To solve this system of equations, we can substitute the first equation into the second equation:
(4/7) * T = G + 18
Multiplying both sides of the equation by 7 to get rid of the fraction, we have:
4T = 7G + 126
Now, we can solve these equations to find the values of B and G. Since we're interested in the total number of children, T, we need to find a value for which both B and G are integers.
Let's try different values for G and see if we get an integer value for B:
If G = 1, then B = 1 + 18 = 19, but 4/7 * T = 19/7, which is not an integer.
If G = 2, then B = 2 + 18 = 20, which satisfies the equation 4/7 * T = 20/7, where T = 35.
If G = 3, then B = 3 + 18 = 21, but 4/7 * T = 21/7, which is not an integer.
Therefore, there are 35 children altogether in the group.
No of Girls
X x 4/7=18
(X x 4/7)/(4/7)=18(4/7)
X=18(4/7)
X=(18x7)/4 reciprocal
X=56/4
X=14
Total No of Children
18boys+14girls
18+14=32 Children