Mathematics
22.11.2021 14:06
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A garden table and a bench cost 975 combined. The garden table costs 75 more than

A garden table and a bench cost 975 combined. The garden table costs 75 more than the bench. What is the cost of the bench
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gioc3948
gioc3948
4,7(7 marks)

$525

x+ y = 975

x - 75 = y

x + x - 75 = 975

2x = 1050

x = $525

Step-by-step explanation:

dalilaoliva12
dalilaoliva12
4,5(8 marks)

Below!

Step-by-step explanation:

Let x represent the cost of the bench

The cost of the garden table can be represented by this equation:

      x + 75

x + (x + 75) = 975

2x + 75 = 975

2x = 900

Divide both sides by 2

x = 450

The bench costs $450

The garden table costs 450 + 75 = $525

Hope this helps! Best of luck <3

I would really appreciate brainliest if possible :)

25cotahai
25cotahai
5,0(60 marks)

1. Mark's profit = $102.40

2. Jamal's profit = $156

3. Bao raised more money, making a profit of $208 than Linda's $180.  The difference in the amounts the students raise was $28.

4.  Flutists raised more money than Trumpeters, with the difference as $256.50

5. Band's profit from calendar sales = $4,256

Step-by-step explanation:

a) Data and Calculations:

Item                  Selling Price      Band's Profit    Band Fundraiser

CD Calendar             $16                  45%               100

Calendar T-Shirt       $20                 38%                 96

T-Shirts dcal T          $10                  52%                 40

Total                                                                        236

1. Martha's sales:

CD profit = 45% x $16 x 5 =     $36.00

Calendars = 38% x $20 X 6 = $45.60

T- Shirts = 52% x $10 x 4 =      $20.80

Total profits =                         $102.40

2. Jamal's sales:

CD profit = 45% x $16 x 6 =     $43.20

Calendars = 38% x $20 X 8 = $60.80

T- Shirts = 52% x $10 x 10 =    $52.00

Total profits =                         $156.00

3. Bao and Linda

                     Bao            Linda

T-shirts          40

CDs                                   25

Price             $10              $16

Total sales  $400          $400

profit  %         52%         45%

Profit margin $208        $180

Difference in profit = $28

4.                        Flutists' Goal

Goal                   18% of total

Amount raised  $1,710 = 18% of $9,500

                        Trumpeters' Goal

Goa in % =         85% of flutists' goal

= 85% of $1,710 = $1,453.50

Difference in amount raise = 15% of $1,710 = $256.50

5. Total money raise = $9,500 x 112% = $10,640

Calendar's profit = 40% of $10,640 = $4,256

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