# SOLUTION: JAMES, ASHLEY, AND NICOLE, ALL SIBLINGS VISITING SCENE75, HAVE COLLECTIVELY WON A TOTAL OF 340 REDEMPTION PRIZE POINTS. THEIR MOTHER, KATHY, DECIDES HOW THE POINTS WILL BE SPLIT A

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 Question 613696: JAMES, ASHLEY, AND NICOLE, ALL SIBLINGS VISITING SCENE75, HAVE COLLECTIVELY WON A TOTAL OF 340 REDEMPTION PRIZE POINTS. THEIR MOTHER, KATHY, DECIDES HOW THE POINTS WILL BE SPLIT AMONGST THE THREE CHILDREN. SHE SAYS THAT JAMES AND ASHLEY BOTH BEHAVED VERY POORLY TODAY, THOUGH JAMES BEHAVED EVEN WORSE THAN ASHLEY. KATHY ASKS YOU TO SPLIT THE POINTS SUCH THAT JAMES RECEIVES 40 POINTS FEWER THAN ASHLEY AND THAT ASHLEY RECEIVES 80 POUNTS FEWER THAN NICOLE. HOW MANY POINTS Found 2 solutions by josmiceli, solver91311:Answer by josmiceli(9697)   (Show Source): You can put this solution on YOUR website!Let = James share Let = Ashley's share Let = Nicole's share --------------------- given: (1) points (2) (3) -------------- (3) (3) --------------- Substitute (2) and (3) into (1) (1) (1) (1) (1) and, from (3), (3) (3) From (2), (2) (2) (2) 60 is James share 100 is Ashley's share 180 is Nicole's share ---------------- check: (2) (2) ------------- (3) (3) OK Answer by solver91311(16897)   (Show Source):