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Andy and Jimmy collected 370 toy cars altogether. 1/4 of Andy's toy cars was 25 more than 1/5 of Jimmy's toy cars. How many toy cars did Andy collect than Jimmy?

 Sep 8, 2021
 #1
avatar+22158 
+1

Let  A  represent the number of toy cars that Andy has.

Let  J  represent the number of toy cars that Jimmy has.

 

Since the total number that Andy and Jimmy have is 370, we have this equation:

     A + J  =  370

 

"1/4 of Andy's toy cars"  is written as  " 1/4 · A "

 

"1/5 of Jimmy's toy cars"  is written as " 1/5 · J "

 

"was 25 more than"  is written as  " =  25 + "

 

So we now have the equation:  1/4 A  =  25 + 1/5 J.

 

To get rid of fractions from this equation, multiply the equation by 20:

    20 [ 1/4A  =  25 + 1/5 J ]     --->     5A  =  500 + 4J

 

Rewriting this equation:     5A - 4J  =  500

 

Putting these two equations together:

      A +  J  =  370     --->   multiply by 4   --->     4A + 4J  =  1480

    5A - 4J  =  500                                    --->      5A - 4J  =    500

 

Adding down the columns:                                 9A         =  1980

Dividing by 9:                                                                A  =  220     (number of Andy's toy cars)

 

Since the total number of cars is 370, Jimmy has 150 toy cars.

 Sep 8, 2021
 #2
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0

So 220 - 150 = 70 is the answer?

Guest Sep 8, 2021
 #3
avatar+1487 
+1

Andy and Jimmy collected 370 toy cars altogether. 1/4 of Andy's toy cars was 25 more than 1/5 of Jimmy's toy cars. How many toy cars did Andy collect than Jimmy?

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

A + J = 370

 

4(25 + J/5) + J = 370

 

J = 150

 

I'll let you figure out the rest. laugh

 Sep 8, 2021
 #4
avatar+86 
0

70 is the answer

plz respond

KourageKowardlyDog  Sep 8, 2021
 #5
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0

Yes, that's correct! 

 

jugoslav laugh

Guest Sep 8, 2021
 #6
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Thanks

Guest Sep 8, 2021

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