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
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.
If 12.6 was rounded, that means that it was rounded to the tenths place. You know this because the number has one decimal place, so that must be what it was rounded to.
