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kogti [31]
3 years ago
14

At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount, but

each was $2 .25 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each perso n ' s items?
Mathematics
1 answer:
babunello [35]3 years ago
3 0
If x is the amount that Tanya paid for each item, then Tony's items would be x-2.25. So:
3x=4(x-2.25)

3x=4x-9
x=9
x-2.25=6.75
Tanya spent $9 on each item; Tony spent $6.75 on each of his items
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We have the following relations between cosine, secant and cosecant of an angle from trigonometry.

\sec A=\dfrac{1}{\cos A}~~\textup{and}~~\csc A=\dfrac{1}{\sqrt{1-\cos^2 A}}.

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\sec A=\dfrac{11}{3}

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