For every watch that Sarah sells, she earns $4. She gets an additional bonus of $50 for every 25 watches she sells. Last month, Sarah received a total of $506. How many watches did she sell last month?

1. Create an x and y graph. The first x as 25 watches and y as $100 since 25 watches cost $100. Also, in the y column just add $50 in parenthesis next to the y's so you know that each time Sarah gets an additional bonus. Then continue the pattern, with the x column adding by 25. You should stop once you reach 100 watches.

It should look like...

x y

25w $100 ($50)

50w $200 ($50)

75w $300 ($50)

100w $400 ($50)

2. Now you know that 100 watches with additional bonuses cost $450, you create the expression, 450+4x=506 to find out how many watches more need to be sold so the total is $506.

3. Subtract 450 from both sides so the expression simplifies to 4x=56. Then divide 4 on both sides, which gives you 14.

4. Now add the original amount of watches that made 450, which was 100 with 14. This gives you 114 watches.

shivishivangi1679 shivishivangi1679 · Answer 2 · 2022-07-29T11:48:11+02:00

Last month, Sarah received a total of $506. Sarah sell 114 watches last month.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The first x as 25 watches and y as $100 since 25 watches cost $100.

The given data will be;

x y

25w $100 ($50)

50w $200 ($50)

75w $300 ($50)

100w $400 ($50)

WE know that 100 watches with additional bonuses cost $450,

So the expression wil be, 450 + 4x = 506

Here, the the total is $506.

Subtract 450 from both sides

4x = 56.

Then divide 4 on both sides

x = 14.

Now we will add the original amount of watches that made 450, which was 100 with 14.

100 + 14 = 114 watches.

Thus, Sarah sell 114 watches last month.

Learn more about equations here;

https://brainly.com/question/10413253

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