Question

- Alto and Sheryl both worked hard over the summer. Together they earned a total of $475. Sheryl earned $25 more than Alto. (a) Write a system of equations for the situation. Use s for the amount Sheryl earned and a for the amount Alto earned. a (b) Graph the equations of the system on the graph provided on the next page. a. Note: Insert->Shape will allow you to add lines, draw dots, and otherwise insert shapes in both Microsoft Word and LibreOffice. The graph should be big enough for you to easily plot points using this method. b. If you do not want to graph using the drawing tools built into Microsoft Word or LibreOffice you may also print out, graph by hand, and scan the page. Please note it's perfectly okay to upload multiple files. (c) Use Elimination or Substitution to solve the system. (d) Use your graph to estimate how much each person earned, check your work with part C, and explain your results in complete sentences. Answer:
pls hurry its due tomorrow​

Answer 1

Answer:

s = 250

a = 225

Step-by-step explanation:

Because they both earned a total of 475 dollars, the total amount of the two is 475. Because a represents Alto's earnings, and s represents Sheryl's earnings, we have $a+s=475$

Sheryl also earned 25 more dollars than Alto, so the value of s is 25 larger than a: $s=a+25$

By graphing, we can let s = y and a = x, so we have the following equations:

$x + y=475\\y=x+25$

Plugging this into Desmos, we have this: (look at screenshot uploaded)

We see that y, or Sheryl's amount is around 250, and x, or Alto's amount is in the middle of 200 and 250, roughly about 225.

Now, we can solve for a and s. Because the value of s is equal to a + 25, we can represent s as a + 25 in the first equation: $a + (a + 25) = 475$. Combining like terms, we have $2a+25=475$, and $2a = 450$. Dividing, we have $a = 225$, and since s is 25 more than 225, we have $s = 250$

The amount we estimated was around what we solved for. We found that the solution, or the value where both cases are true is around 250 and 225 for Sheryl and Alto's earnings.

Answer 2

475 = s + a
s = a + 25