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A length of string that is 240 cm long is cut into three pieces the second piece is 25% longer than the first piece the third piece is 25% shorter than the first piece . how long is each piece

User Saorikido
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2 Answers

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First piece is 80
Second piece is 100
And Third piece is 60
User Alexeis
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5 votes
Hey there,
Let's say that the first piece is x cm
1st = x
2nd = x + 25%
3rd = x - 25%
100% = 240 cm
1% = 240 / 100
= 2.4cm
x + x + 25 + x - 25 = 100
3x + 25 - 25 = 100
3x = 100 - 25 + 25
3x = 100
3x = 240 cm
x = 240 / 3
= 80 cm
1st piece = 80 cm
2nd piece = 80 + (25% x 80)
= 80 + 20
= 100cm
3rd piece = 80 cm - (25% x 80)
= 80 cm - 20
= 60cm

Hope this helps :))

~Top♥
User Jamezor
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