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?

Question

Thank you! Last problem and cant figure it out!

Answer 1

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

Answer 2

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