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?
+129847 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
+1694 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
Jack had 160 marbles
