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Judah's family wants to ride the bumper boats at a water park. There are 4 children(c) and 2 adults (a) in Judah's family. The boats are safe if 40c + 12a ​ \(\leq\)  500.Can judah's family ride the bumper boats safely?

 Oct 28, 2018
 #1
avatar+624 
+14

Can I ask what values 40, 12, and 500 stand for?

 Oct 28, 2018
 #2
avatar+17209 
+1

40(4)+ 12(2)  <= 500?

160 + 24 = 184     Yes it  is safe to ride  

 Oct 28, 2018
 #3
avatar+624 
+14

Okay. I mean I guess I won't need them if we are just plugging the numbers in.

 

We have the equation \(40c + 12a \leq 500\).

 

Plugging in \(4\) for c and \(2\) for a,

 

we get:

 

\(40(4) + 12(2) \leq 500\)

 

\(= 160 + 24 \leq 500\)

 

\(= 184 \leq 500\).

 

Since \(184\) is less than \(500\), the boats are safe. 

 

Therefore, Judah's family can ride the bumper boats safely.

 

So the answer is \(\boxed{yes}\).

 Oct 28, 2018
 #4
avatar+28 
+1

Thank you so much! It really means a lot!

 Oct 28, 2018
 #5
avatar+624 
+14

No problem :)

 Oct 28, 2018

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