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attashe74 [19]
3 years ago
9

Fiona, Dan and Stephen share £66 in a ratio 1:3:2. How much money does each person get?

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
4 0

Answer:

£11, £33, £22

Step-by-step explanation:

F:D:S= 1:3:2

  • x+3x+2x= 66
  • 6x=66
  • x= £11

Fiona  £11

Dan £33

Stephen £22

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Explanation:

This is because we're adding -1/4 to each term to get the next one. In other words, we're subtracting 1/4 from each term to get the next one.

  • term2 = term1+(d) = 1/2 + (-1/4) = 1/2 - 1/4 = 2/4 - 1/4 = 1/4
  • term3 = term2+(d) = 1/4 + (-1/4) = 1/4 - 1/4 = 0
  • term4 = term3+(d) = 0 + (-1/4) = 0 - 1/4 = -1/4
  • term5 = term4+(d) = -1/4 + (-1/4) = -2/4 = -1/2

and so on.

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To find the common difference, all we have to do is subtract any term from its previous one.

For example:

d = (term2) - (term1)

d = (1/4) - (1/2)

d = (1/4) - (2/4)

d = (1-2)/4

d = -1/4

The order of subtraction matters, so we cannot say d = term1-term2.

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Answer:

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Two lines are said to be parallel only if their slope matches. They are said to be perpendicular only if the slopes are negative reciprocals.

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