Question

A baseball team played 154 regular season games. The ratio of the number of games they won to the number of games they lost was four thirds. How many games did they​ win? How many games did they​ lose?

Answer 1

a.

Let

5x = number of games won

2x = number of games lost

The total number of win and lose is 154. So

5x + 2x = 154

Solving for x,

7x = 154

x = 22

Therefore, the number of games won is 5*22=110 and the number of games lost is 2*22 is 44.

b.

Let

6x = first side of the triangle

7x = second side of the triangle

9x = third side of the triangle

The perimeter of a triangle is the total of all sides. So,

6x + 7x + 9x = 88

22x = 88

x = 4

Therefore, the three lengths of the side are 6*4=24, 7*4=28, and 9*4 = 36

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