The ratio of adults to children at a holiday concert is expected to be 5 to 2. If 490 peole attend, approximately how many will be children? How many will be adults?
Thank you! Last problem and cant figure it out!
VARIABLES
a = adults
c = children
p = people
GIVENS
a = (5/2)c
p = a + c
PLUG IN p&a, SOLVE FOR C
490 = (7/2)c
490 = (7/2)c
c = 140
SOLVE FOR A
a = 490 - 140 = 350
ANSWER
140 children
350 adults
let number of adults be 5x
let number of children be 2x
then 5x+2x = 490
7x=490
x=70
so adults = 5x = 350
children = 2x = 140
To solve this problem, you'll need to set up a proportion using the given ratio and the total number of people attending the concert.
Let's set up the proportion relating the number of adults to the number of children:
Adults/Children = 5/2
Now, we can solve for the unknown values by cross multiplying:
Adults = (5/2) * Children
We also know that the total number of people attending is 490, so:
Adults + Children = 490
Now, substitute the value of Adults from the first equation into the second equation:
(5/2) * Children + Children = 490
To simplify, let's convert the fraction to a decimal:
2.5 * Children + Children = 490
Combining like terms:
3.5 * Children = 490
Now, solve for Children:
Children = 490 / 3.5
Children ≈ 140
To find the number of adults, substitute the value of Children into any of the previous equations:
Adults = (5/2) * Children
Adults = (5/2) * 140
Adults = 350
Therefore, approximately 140 people will be children and 350 people will be adults at the holiday concert.