ate 20 slices of pie, and Yasmin ate 4 more slices than Zippy did. Which of the following systems of equations represents this situation in terms of y, the number of slices of pie Yasmin ate, and z, the number of slices of pie Zippy ate?Choose 1 answer:(A) y+z=20y+4=z(B) y+z=20z+4=y(C) y+z=20y=4z(D) y+z=20z=4y
Q. ate 20 slices of pie, and Yasmin ate 4 more slices than Zippy did. Which of the following systems of equations represents this situation in terms of y, the number of slices of pie Yasmin ate, and z, the number of slices of pie Zippy ate?Choose 1 answer:(A) y+z=20y+4=z(B) y+z=20z+4=y(C) y+z=20y=4z(D) y+z=20z=4y
Define Variables: Let's define the variables according to the problem:- y represents the number of slices Yasmin ate.- z represents the number of slices Zippy ate.We are given that together they ate 20 slices, so the first equation is y+z=20.
Set Up Equations: We are also told that Yasmin ate 4 more slices than Zippy. This translates to the equation y=z+4.
Check Answer Choices: Now let's check each answer choice to see which one matches our equations:(A) y+z=20 and y+4=z does not match because it suggests Yasmin ate 4 slices more than the total of Zippy's slices, which is incorrect.(B) y+z=20 and z+4=y matches our equations, as it can be rearranged to y=z+4.(C) y+z=20 and y=4z suggests Yasmin ate four times as many slices as Zippy, which is not what the problem states.(D) y+z=20 and z=4y also does not match because it suggests Zippy ate four times as many slices as Yasmin, which is incorrect.
Identify Correct Equations: The correct system of equations that represents the situation is therefore:y+z=20z+4=yThis corresponds to answer choice (B).
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