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Five students each bring 16 yards of ribbon to school for a project. How can the ribbon be divided so that Arnie gets exactly twice as much as Susan?
Arnie gets 50 yards, and Susan 25.
16 yards * 5 students = 75 yards
75 yards = arnie + susan, and
arnie = 2 x susan
so,
75 = 3 x susan
susan = 25 yards
75 - 25 = arnie = 50 yards.
edit - oh, good point. i can't multiply./
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Do the other kids not get any ribbon?
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."
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16*5=80
2x + x = 100%
3x = 100%
x = 33.3%
Arnie + Susan
66.7% + 33.3% = 100%
2/3 + 1/3 = 1
5 ribbons.
2 for anie and 1 for susan.
That leaves 2 more.
How to divide 2 ribbons.
2/3 of 2 is 1.3333
1/3 of 2 is .66667
Convert 16 yards to feet since 3 is involved.
16 yards is 48 feet.
16 + 16 + 16 feet = 48 feet.
Arnie gets 16 + 16 + 16 + 16 feet + the 2 whole ribbons.
Susan gets 16 + 16 feet + 1 whole ribbon.
igloo myrtilles fourmis
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