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Marizza181 [45]
3 years ago
10

Carol has 88cm of string and cuts it in the ratio 5 : 6. How much longer is the

Mathematics
1 answer:
CaHeK987 [17]3 years ago
6 0

Given:

Carol has 88cm of string and cuts it in the ratio 5 : 6.

To find:

How much longer is the longest piece compared to the shortest piece.

Solution:

Let the lengths of two pieces of string are 5x and 6x. Then,

5x+6x=88

11x=88

x=\dfrac{88}{11}

x=8

Now, the lengths of pieces are:

5x=5(8)

5x=40

And,

6x=6(8)

6x=48

The difference between the longer piece and shorter piece is:

48-40=8

Therefore, the longer piece is 8 m longer than the shorter piece.

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