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Osbert12
Osbert12, Master's Degree
Category: Pre-Calculus
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JAMES, ASHLEY, AND NICOLE, ALL SIBLINGS VISITING SCENE75, HAVE

Customer Question

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 DOES EACH CHILD RECEIVE?
Submitted: 4 years ago.
Category: Pre-Calculus
Expert:  Osbert12 replied 4 years ago.

Thank you for your question.

 

Define J, A, and N, as the points James receives, Ashley receives, and Nicole receives, respectfully.

 

J + A + N = 340

J + (J + 40) + (J + 40 + 80) = 340

3J + 160 = 340

3J = 180

J = 60

James: 60 points

Ashley: 100 points

Nicole: 180 points

 

Osbert

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