SOLUTION: In a museum, the ratio of adults to children is 2 to 14. If there are 320 people in the museum, how many children are there? I don't understand ratios. How do you figure out ju

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: In a museum, the ratio of adults to children is 2 to 14. If there are 320 people in the museum, how many children are there? I don't understand ratios. How do you figure out ju      Log On


   

Question 1051599: In a museum, the ratio of adults to children is
2 to 14. If there are 320 people in the museum, how many children are there?
I don't understand ratios. How do you figure out just by knowing the 2 to 14 ratio.
Found 2 solutions by stanbon, ewatrrr:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In a museum, the ratio of adults to children is
2 to 14. If there are 320 people in the museum, how many children are there?
I don't understand ratios. How do you figure out just by knowing the 2 to 14 ratio.
adults = 2x
children = 14x
----
Equation:
2x + 14x = 320
16x = 320
x = 20
------
adults = 2x = 2*20 = 40
children = 14x = 14*20 = 280
------------------------
Cheers,
Stan H.
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Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi  

 Let x represent the constant of proportionality: adults 2x, children 14x

2x + 14x = 320

16x = 320

x = 20

Children: 2x = 2(20) = 40 children

Checking:

14x adults = 280

280 + 40 = 320 CHECKS!