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# Word problem

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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
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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   Jun 18, 2021
#2
+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?

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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