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A)

Important information:

The total cost includes the price of 2 tickets and the price of yogurt.

The total cost: 19.90$

The price of yogurt: 5.5

The price of 2 tickets: unknown

Each of the tickets costs the same amount of money.

Verbal Description:

For the unknown value, the letter x is often selected to represent this unknown value.

Here, we select x that is the price of 1 ticket, then the price of 2 tickets would be 2x.

=> We have the equation: 2x + 5.5 = 19.90

Transfer 5.5 to the right, and then divide both sides by 2, we have:

(2x)/2 = (19.9 - 5.5)/2

Take the simplification, we have:

x = 7.2$ (this is the price of a ticket)

B)

Use the same strategy as shown in A), we have:

Total number of stamps: 100

Mari's number of stamps: x

Carlos's number of stamps: x + 5

Amanda's number of stamps: 3x

=> 3x + x + x + 5 = 100

=> 5x = 100 - 5

=> 5x = 95

=> x = 19

Mari's number of stamps: 19

Carlos's number of stamps: 19 + 5 = 24

Amanda's number of stamps: 3 x  19 = 57

C)

The perimeter of the garden:

perimeter = (width + length) x 2

perimeter = 256

width = w

length = w + 8

=> We have:

256 = (w + w + 8) x 2

<=>256 = (2w + 8) x 2

<=> 256/2 = (2w + 8) x 2/2

<=> 128 = 2w + 8

<=> 128 - 8 = 2w

<=> 120 = 2w

<=> w = 60

=> width of garden: 60

=> length of garden: 60 + 8 = 68