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Maria, Ivan, Leah, Julie, and Scott measured each other’s heights for health class The heights are 42 39 41, 37 and 39 inches Julie is 2 inches shorter than Leah Maria is 1 inch shorter than Scott and 2 inches taller than Leah How tall is each student?
it is 5th grade math
Justin Perez
Maria, Ivan, Leah, Julie, and Scott measured each other’s heights for health class The heights are 42 39 41, 37 and 39 inches
Julie is 2 inches shorter than Leah
Maria is 1 inch shorter than Scott and 2 inches taller than Leah
Okay, let's put the numbers in order:
42, 41, 39, 39, 37
Leah is 2 inches taller than someone, and 2 inches shorter than someone else. She must be a number that is 2 away from 2 different numbers.
Further more, the number that is 2 above hers must be 1 below another number. The only pair of numbers that are 1 away from each other are 42 and 41.
So, right off the bat: Leah can only be 39 inches tall. No other number fits.
Maria and Scott are 41 and 42. They're the only numbers within one of each other, and also 41 - 2 = 39, which is how tall Leah is.
Julie is 2 inches shorter than Leah, so she is at 37, which is in our set of numbers.
We have no information about Ivan, but every other number is accounted for, so Ivan is our second 39 inch person.
Final result:
Maria - 41
Ivan - 39
Leah - 39
Julie - 37
Scott - 42
Michael Scalise
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