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marishachu [46]
3 years ago
10

Bob has hats:scarves=4:3. During the day he sells 25 hats. At the end of the day he has hats:scarves=7:9. Work out the number of

scarves he has.
Mathematics
1 answer:
stiks02 [169]3 years ago
5 0
Bob does not sell any scarves. (If he does, there isn't enough information here to solve the problem.) 

<span>Suppose Bob ends the day with 7k hats and 9k scarves, where k is some integer. This is a ratio of 7:9. Bob started the day with 7k+25 hats and 9k scarves. The ratio at the start of the day is </span>
<span>(7k+25)/9k = 4/3 </span>
<span>3(7k+25) = 4(9k) </span>
<span>21k+75= 36k </span>
<span>75 = 15k </span>
<span>k = 5. </span>
<span>So Bob has 9k = 9x5 = 45 scarves. </span>


<span>Suppose Jake gets £ 1k and Kim gets £ 3k. Kim gets £ 2k more than Jake, so £ 2k = £ 9. </span>
<span>Lee gets £ 6k = 3x £ 2k = 3x £ 9 = £ 27. </span>


<span>The co-ordinates of X are </span>
<span>x = 2 + (2/5)*(12.5-2) = 6.2 </span>
<span>y = 1 + (2/5)*(7.5-1) = 3.6.</span>
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You had the right idea using the Pythagorean theorem to solve for b.

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Pythagorean theorem only works for the right triangles. Only way to "solve this problem would be to bring in complex numbers.

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