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# Sos

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Benedict had 130 more toy cars than Samuel in the beginning. Each of them gave Caleb some of their toy cars. The number of toy cars Benedict gave to Caleb was 3/4 of the number of toy cars Samuel had at first. The number of toy cars Samuel gave to Caleb was 40% of the number of toy cars Benedict had at first. Both had an equal number of toy cars left. How many toy cars did Benedict have at first?

Sep 14, 2023

#1
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B = benedict's original # of cars

S = sam's cars =  B-130

Now give away some cars

B will now have     B -  3/4 ( B-130 )        and S will have   (B-130) - .4 ( B)        These two equations are now equal

B - 3/4 (B-130 )    =   ( B-130) - .4B    solve for B

,25B +  97.5  =  .6B - 130

227.5  =  .35 B

B=650 cars at first

Sep 15, 2023

#1
+1

B = benedict's original # of cars

S = sam's cars =  B-130

Now give away some cars

B will now have     B -  3/4 ( B-130 )        and S will have   (B-130) - .4 ( B)        These two equations are now equal

B - 3/4 (B-130 )    =   ( B-130) - .4B    solve for B

,25B +  97.5  =  .6B - 130

227.5  =  .35 B

B=650 cars at first

ElectricPavlov Sep 15, 2023