SOLUTION: There are 550 people at a tournament. 1/3 of the adults and 1/5 of the children wear jerseys.The number of adults and children not wearing jerseys are equal.How many children do no

Question 1032361: There are 550 people at a tournament. 1/3 of the adults and 1/5 of the children wear jerseys.The number of adults and children not wearing jerseys are equal.How many children do not wear jerseys?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let a = no. of adults
let c = no. of children
:
Write an equation for each statement
:
There are 550 people at a tournament.
a + c = 550
1/3 of the adults and 1/5 of the children wear jerseys.
therefore
2/3 of the adults and 4/5 of the children are NOT wearing jerseys
:
The number of adults and children not wearing jerseys are equal.
a = c
Multiply both sides by 15 to get rid of the denominators
5(2a) = 3(4c)
10a = 12c
a =
a = 1.2c
:
Using the 1st equation, replace a with 1.2c
1.2c + c = 550
2.2c = 550
c = 550/2.2
c = 250 children total
:
How many children do not wear jerseys?
*250 = 200 children
:
:
Check this by finding the number of Adults not wearing jerseys
550-250 = 300 adults
2/3 * 300 = 200; equal to the children not wearing jerseys
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