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timofeeve [1]
3 years ago
15

Kara has 21 collectible buttons to sell. She sells the small buttons for $3 and the large buttons for $4, and earns a total of $

68. If the small buttons are represented by x and the large buttons are represented by y which of the following systems of equations can be used to calculate the number of large and small buttons sold.Answersx+y=21,3x+4y=68x+y=68, 3x+4y=21x+y=21, 4x+3y=68x+y=68, 4x+3y=21
Mathematics
1 answer:
Serga [27]3 years ago
5 0
We know that there are 21 buttons total. x is the number of small buttons and y is the number of large buttons. 

Therefore, our first equation should be x+y = 21.

We know the small buttons sell for 3 dollars, meaning 3x represents how much is made from the small buttons. The larger buttons sell for 4 dollars, meaning 4y is how much is made from the large buttons. 

We also know that the total of the buttons sold is 68 dollars. Therefore 3x + 4y = 68 is our second equation.

From this information, the answer is the first set.

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Answer: {5 ± 2√10, 5 - 2√10}

Step-by-step explanation: First isolate the binomial squared by adding 40 to both sides to get (x - 5)² = 40.

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Notice that root of 40 can be broken down to 2√10.

So we have x - 5 = ± 2√10.

To get <em>x</em> by itself, add 5 to both sides to get x = 5 ± 2√10.

So our answer is just {5 ± 2√10, 5 - 2√10}.

As a matter of form, the number will always come before the

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4 0
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Using a calculator, you should find that

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If your teacher allows decimal answers, then there are infinitely many possible ways to answer.

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