SOLUTION: During a demonstrate game, Carmelo shot twice as many baskets as Mark. If their total number of baskets is 42 how many baskets did each one make?
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Question 1117186: During a demonstrate game, Carmelo shot twice as many baskets as Mark. If their total number of baskets is 42 how many baskets did each one make? Found 2 solutions by math_helper, rothauserc:Answer by math_helper(2461) (Show Source):
You can put this solution on YOUR website! A good one to reason out mentally.
"Carmelo shot twice as many baskets" … that tells you you will have some quantity plus twice that quantity, (or three times some quantity), equal to 42. 42/3 is 14.
Mark shot 14 baskets and Carmelo shot 28 baskets.
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Algebraically:
Let M=number of baskets Mark shot.
then 2M = number of baskets Carmelo shot.
M+2M = 3M = 42 —> M=42/3 = 14. Mark shot 14 baskets, Carmelo shot 2*14=28 baskets.
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You can put this solution on YOUR website! let x be the number of baskets Mark shot and y be the number of baskets Carmelo shot
:
1) y = 2x
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2) x + y = 42
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subsitute for y in equation 2 by using equation 1
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x +2x = 42
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3x = 42
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x = 14 and y = 28
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Mark shot 14 baskets and Carmelo shot 28 baskets
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