Question

There are 70 people attending a high school baseball game. The difference between the number of women and men at the game is 18. Let x represent the number of women. Let y represent the number of men.

This system of equations represents this situation:

x+y=70

x−y=18

How many women and men are at the game?

Answer 1

Adding the systems of equations together, we get
2x=88
Dividing both sides by 2, we get x, or the number of women, to be 44.
Plugging that into either equation, we get
44-y=18. Adding y to both sides and subtracting 18, we get y, or the number of men, to be 26.

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