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The coach of the Relay race team promised his athletes a reward if they win gold or silver. The reward is divided up relative to speed. Jenny got a sixth of the pot, Katherine a fifth. How big was the total reward sum, if Katherine got $ 1,499 more than Jenny?

Respuesta :

Edufirst
J = Jenny's reward
K = Katherine's reward

Pot x

J = [1/6]x = x/6

K = [1/5]x = x/5

K = 1499 + J

x/5 = 1499 + x/6

x/5 - x/6 = 1499

6x - 5x = 6*5*1499

x = 44,970

Answer: 44,970
 

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