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Luis and Jack had 350 marbles altogether. Luis gave away 25% as many marbles as Jack. Jack was left with 40 more than the number of marbles he gave away? Luis had 25% as many marbles as Jack in the end. How many marbles did Jack have in the end?

 Jun 18, 2021
 #1
avatar+120930 
+1

L  +  J      =  350   ⇒   L =  350  - J       

Jack gave away G  marbles

Luis  gave  away  .25G  marbles

 

J  -  G  =  G  + 40

J  =   2G  + 40      

 

L -  .25G  = .25 (G  + 40)               

 

 

(350  - J)  -.25G   = .25 (G + 40)

 

[350  - ( 2G + 40) ] -.25G   =  .25(G + 40)

 

350   -2G   -40  -.25G   =  .25G   +  10

 

300  =  2.5G

 

300  / 2.5  = G   =    120

 

Jack was left with   G + 40   =    120  + 40   =  160  marbles

 

 

cool cool cool

 Jun 18, 2021
 #2
avatar+1428 
+1

Luis and Jack had 350 marbles altogether. Luis gave away 25% as many marbles as Jack. Jack was left with 40 more than the number of marbles he gave away? Luis had 25% as many marbles as Jack in the end. How many marbles did Jack have in the end?

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

L + J = 350

J gave away = X

L gave away = 1/4(X)

J had in the end = X + 40

L had ............... = 1/4(X + 40)

 

350 - (X + X/4) = (X + 40) + 1/4(X + 40)

X = 120

X + 40 = 160

Jack had 160 marbles

 Jun 18, 2021

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