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Challenging Word Problem Demystified
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A money changer exchanged $6850 into fifty-dollar notes
A money changer exchanged $6850 into fifty-dollar notes. How many fifty-dollar notes does he receive? 6850 ÷ 50 = 685 ÷ 5 = 137 He receive 137 notes
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Tim has thrice as many stamps as Bill
Tim has thrice as many stamps as Bill. Tim and Bill have a total of 300 stamps. How many stamps does Tim have? (1) Draw out the model that represent the word problem. Bill 300 Tim (2) Label the diagram with the names and number. Use the guiding Question “Who has more?” ? 300÷ 4 = 75 75 x 3 = 225 Tim has 225 stamps. (3) Check the model. (4) Write the number statement. (5) Write the answer statement
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? 150 200 50 200 – 50 = 150 150 ÷ 2 = 75 ? = 75
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Tom and Jerry have $780. Tom have $80 more than Jerry
Tom and Jerry have $780. Tom have $80 more than Jerry. How much does Tom have? 350 Jerry 700 780 80 Tom 350 ? = 700 700 ÷ 2 = 350 = 430 Tom has $430.
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Tim must give Moby 25 stamps.
Tim has 50 stamps more than Moby. How many stamps must Tim give so that they have the same number of stamps? 25 Moby Tim 25 25 50 50 ÷ 2 = 25 Tim must give Moby 25 stamps.
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460 - 400 60 ÷ 2 = 30 Tom must give $30 to Jerry
Jerry has $400. Tom has $460. How much money must Tom give to Jerry so that they have the same amount? Jerry Tom 400 30 30 30 460 60 60 ÷ 2 = 30 Tom must give $30 to Jerry
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Jennifer must give Samantha $3.25.
Samantha has $26.25 while Jennifer has $ How much money must Jennifer give to Samantha so that they have the same amount of money? 2625 325 Samantha $7.50 325 325 Jennifer 3375 750 $33.75 – = $7.50 = 750¢ 750 ÷ 2 = 325 Jennifer must give Samantha $3.25.
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