# math asap

if a 40 m rope is cut into two pieces in the ratio 3 : 5, how long is each piece?

i tried: x=one piece
3/5 = x/40
x= 3*40/5
x=120/5
x=24

is that right?

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1. No.

3/8 = x/40

8x = 120

x = 15

15 makes more sense than 24. 15 is the shorter piece. How long is the longer piece?

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Ms. Sue
2. i'm pretty sure its 25 because 25+15 = 40, but i don't know how to get the 25.

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3. You're right.

Subtracting the shorter piece from the total length is a good way of finding the length of the longer piece.

You could also use this proportion.

5/8 = x/40

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Ms. Sue
4. Thank you but on more question, where did you get the 8 in 3/8, i was confused about that. because the question has 3/5

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5. 3 + 5 = 8

3 parts of 8

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Ms. Sue
6. Thank you!!

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7. You're welcome.

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Ms. Sue
8. ok, this is what i did, im in grade nine and first timer in this sort of stuff:

3+5=8
40 divided by 8 = 5.

then...

5/8 = x/40
x= 40 x 5 divided by 8
so x = 25?

is this good

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9. yes it is right

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