A 97-cm board is cut into two pieces. If one piece is 35 cm shorter than the other, how long are the two pieces?
x + x - 35 = 97
2x = 62
x = ?
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The group of boy,18 play football,19 play basketball, 16 play hockey,6play football only,9 play basketball only, 2play basketball and hockey only. How many play all the 3 games, how many football and hockey only, how many play hockey only, how many boys are there all together.
To solve this problem, let's assume the length of one piece is x cm.
According to the problem, the other piece is 35 cm shorter than the first piece. So its length would be x - 35 cm.
We know that the sum of the lengths of the two pieces should be equal to the length of the original board, which is 97 cm.
So we can set up the equation: x + (x - 35) = 97.
Now, let's solve the equation:
2x - 35 = 97.
2x = 97 + 35.
2x = 132.
x = 132 / 2.
x = 66.
Therefore, one of the pieces is 66 cm long, and the other piece is x - 35 = 66 - 35 = 31 cm long.