Question

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?

Answer 1

Answer:

89

Step-by-step explanation:

25 watches equals a $50 bonus + 25 * 4

25*4=100

100+50=150

150 can go into 506 three times with a remainder of 56.

since it fits three times that is 75 watches

now divided the remainder by 4 and add this to 75.

56/4=14

75+14=89

89 watches

Answer 2

Answer:

114 watches

Step-by-step explanation:

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.