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?

Guest Sep 8, 2021

#1**+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.

geno3141 Sep 8, 2021

#3**+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?

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A + J = 370

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

J = 150

I'll let you figure out the rest.

jugoslav Sep 8, 2021