There are 40 people at a picnic, there are 4 more children than adults. How many of each are there? adults? children?
40/2 = 20
How about 18 and 22?
x = no. of adults
x + 4 = no. of children
x + x+4 = 40
2x + 4 = 40
2x = 36
x = 18
To determine the number of adults and children at the picnic, we can set up a system of equations based on the information given. Let's use variables to represent the number of adults and children.
Let's represent the number of adults as "A" and the number of children as "C".
Based on the given information, we have two conditions:
1) There are 40 people at the picnic, so the total number of adults and children is 40: A + C = 40.
2) There are 4 more children than adults: C = A + 4.
To solve this system of equations, we can use the method of substitution or elimination.
Let's solve it using substitution by expressing A in terms of C or C in terms of A.
From equation 2, we have A = C - 4.
Substituting this expression for A in equation 1, we get (C - 4) + C = 40.
Simplifying this equation, we have 2C - 4 = 40.
Adding 4 to both sides of the equation, we get 2C = 44.
Dividing both sides of the equation by 2, we get C = 22.
So there are 22 children at the picnic.
Substituting this value of C back into equation 2, we find A = 22 - 4 = 18.
Therefore, there are 18 adults at the picnic.
In conclusion, there are 18 adults and 22 children at the picnic.