A small-town newspaper examines its daily circulation. Last week, it sold 200 newspapers daily. This week, it sold 186 newspapers daily. Part A: What is the percent decrease in the newspaper's circulation since last week? Part B: If circulation decreases by the same percent next week, what will the daily circulation be?

7%

173

Step-by-step explanation:

Given that :

Daily sales last week = 200

Daily sales this week = 186

% decrease in newspaper circulation :

(Decrease / initial amount) * 100%

((200 - 186) / 200) * 100%

(14 / 200) * 100%

0.07 * 100%

= 7%

Part B: If circulation decreases by the same percent next week, what will the daily circulation be?

7% decrease the following week :

(100% - 7%) of 186

93% * 186

0.93 * 186

= 172.98

= 173

$19:50

Step-by-step explanation:

Write a system of equations to represent the problem. Let x represent the cost of a binder, and let y represent the cost of a notebook.

Grace buys 4 binders and 7 notebooks for $26.50 total, so the equation 4x+7y=26.50 represents how much Grace spends.

Grace's friend buys 3 binders and 6 notebooks for $21.00 total, so the equation 3x+6y=21 represents how much her friend spends.

You can use this system of equations to find how much money Grace and her friend spend on notebooks:

4x+7y=26.50

3x+6y=21

Next, find how much Grace and her friend spent on notebooks. Start by finding the cost of one notebook. Use elimination to solve for y. .

3(4x+7y)=3(26.50)  

–

12x+21y=79.50

–

4(3x+6y)=

–

4(21)  

–

12x–24y=  

–

84

–

3y=  

–

4.50

y=1.50

Each notebook costs $1.50. Grace and her friend buy a total of 13 notebooks, so multiply to find how much money they spend on notebooks.

13$1.50=$19.50

Grace and her friend spend $19.50 total on notebooks.