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Lia shot 3 times as many baskets as cliff, while kyle shot 12 more baskets than cliff if lia and kyle shot the same # of baskets, how many baskets did each of them shoot?

Abigail015

by Abigail015 at October 12, 2009

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Let Lia = L Let Cliff = C Let Kyle = K L = 3 * C K = 12 + C L = K 3 * C = 12 + C 2C = 12 C = 6 L = 3 * C = 3 * 6 = 18 K = L = 18 Thus: Cliff shot 6 baskets Lia shot 18 baskets Kyle shot 18 baskets

beandip beandip October 13, 2009

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Number of shots Lia made = x Number of shots Cliff made = y Number of shots Kyle made = z x=3y(Lia made 3 times as many baskets as Cliff) ------ 1) x=z(Lia and Kyle shot the same # of baskets) ------------2) z=12+y(Kyle shot 12 more baskets than cliff) ---------------3) From 1) & 2), z=3y -------------------------------------------------4) From 3) & 4), 3y=12+y --> 2y=12 --> y=6 therefore, z=12+y(6)=18 x=z=18 Lia: 18 times Cliff: 6 times Kyle: 18 times

bumsoo_kim bumsoo_kim October 13, 2009

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