Abigail works as a salesperson at an electronics store and sells phones and phone accessories. Abigail earns a $14 commission for every phone she sells and a $3.50 commission for every accessory she sells. On a given day, Abigail made a total of $129.50 in commission and sold 7 more accessories than phones. Write a system of equations that could be used to determine the number of phones sold and the number of accessories sold. Define the variables that you use to write the system.
A summer camp is organizing a hike and needs to buy granola bars for the campers. The granola bars come in small boxes and large boxes. Each small box has 10 granola bars and each large box has 24 granola bars. The camp bought a total of 10 boxes that have 184 granola bars altogether. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.
specificity would help a lot
Let's define the variables for this problem:
Let "x" represent the number of phones sold.
Let "y" represent the number of accessories sold.
According to the given information, Abigail earns a $14 commission for every phone sold and a $3.50 commission for every accessory sold. So, the first equation can be written to represent the total commission earned:
14x + 3.50y = 129.50
Additionally, we know that Abigail sold 7 more accessories than phones. This can be represented in the second equation:
y = x + 7
Hence, the system of equations is:
14x + 3.50y = 129.50
y = x + 7
Sure thing! Let's define our variables:
Let's say x represents the number of phones sold by Abigail.
And let's say y represents the number of accessories sold by Abigail.
According to the given information, we know that Abigail earned $14 commission for every phone sold and $3.50 commission for every accessory sold. We also know that Abigail made a total of $129.50 in commission.
Using this information, we can set up the following system of equations to determine the number of phones and accessories sold:
Equation 1: 14x + 3.50y = 129.50
This equation represents the total commission earned by Abigail.
Equation 2: y = x + 7
This equation represents the fact that Abigail sold 7 more accessories than phones.
So, the system of equations is:
14x + 3.50y = 129.50
y = x + 7
I hope this helps! Let me know if you need any further assistance.
Let number of accessories be a , and phone be p
a = p+7
3.5a + 14p = 129.50
3.5(p+7) + 14p = 129.5
3.5p + 24.50 + 14p = 129.5
17.5p = 105.0
p = 6
then a = 13