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Marizza181 [45]
2 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]2 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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===============================================================

Work Shown:

10% = 10/100 = 0.10

10% of 1000 = 0.10*1000 = 100 is the amount of interest earned in year 1. This goes in the first row of column 1. The overall balance becomes 1000+100 = 1100 after we add on the interest earned. We will write 1100 in row1,column2.

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After finishing row1, we should have these four values: 100, 1100, 30, 1070

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Now onto row 2

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The overall balance will be different. Instead of using 1000, we will use 1070 which was the figure in row1,column4. Add the amount of interest earned ($100) onto the updated balance ($1070) to get 1170. Write 1170 in row2,column2

The value in row2,column3 is the same as the value above it. This is because the amount of interest does not change, so the amount taxed doesn't change either. Basically we'll have 30s all the way down column 3. We'll also have 100s all the way down column 1.

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Repeat these steps for the third, fourth, and fifth rows and you'll get what you see in the table below.

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Answer:

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