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2 years ago

Ms. Lynch has 21 coins in nickels and dimes.

Mathematics

1 answer:

bulgar [2K]2 years ago

4 0

Answer:

Step-by-step explanation:So we know x + y = 21 and 5x +10y = 165 We line them up in columns x + y = 21 5x +10y = 165 To eliminate the x variable, I'll multiply every element in the 1st equation by -5. -5x + -5y = -105 5x + 10y = 165 Now we combine (add) the equations, which eliminates x altogether. 5y = 60 ... y = 12 From there, x + 12 = 21 ... x = 21-12 ... x = 9 You should double check. Do 9 nickles and 12 dimes equal $1.65? A very important thing to remember using this method is to do the same thing to each element in the equation that you change! I hope that helps.

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<h3>How to determine the amount invested?</h3>

First of all, we would assign variables to the amount of money that he invested at different interest rates as follows:

Let x be the amount of money she invested at 11%.

Let y be the amount of money she invested at 14%.

Since Lydia invested the same amount of money in both stocks, we have:

x = y ....equation 1.

At the two interest rates, the total amount Lydia gets is given by:

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Solving the equations simultaneously, we have:

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Thus, the total investment is given by:

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