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?

Guest Jun 18, 2021

#1**+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

CPhill 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?

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

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

civonamzuk Jun 18, 2021