Step: 1

[Total number of soaps and shampoo bottles is 28.]

Step: 2

Cost of x soaps = $3x

[Cost of a soap = $3.]

Step: 3

Cost of y shampoo bottles = $10y

[Cost of a shampoo bottle is $10.]

Step: 4

Step: 5

So, the system of equations are x + y = 28 and 3x + 10y = 174.

Correct Answer is : x + y = 28 and 3x + 10y = 174

Step: 1

[Total number of candies and cookies = 12.]

Step: 2

Cost of x candies is $x

[Cost of a candy = $1.]

Step: 3

Cost of y cookies is $0.8y .

[Cost of a candy = $0.8.]

Step: 4

Cost of 12 candies and cookies is $11, so x + 0.8y = 11.

[Total cost = $11.]

Step: 5

Correct Answer is : x + y = 12, x + 0.8y = 11

Step: 1

[Total number of tickets = 9.]

Step: 2

Cost of x tickets is 6x .

Step: 3

Cost of y tickets is 8y .

Step: 4

Cost of 9 tickets is $60, so 6x + 8y = 60.

[Total cost = $60.]

Step: 5

Correct Answer is : x + y = 9, 6x + 8y = 60

Step: 1

The equation '3x + 2y = 28' represents the situation 'Three soccer balls and two baseballs cost $28'.

Step: 2

The equation '2x + 4y = 36' represents the situation 'Two soccer balls and four baseballs cost $36'.

Step: 3

So, '3x + 2y = 28 and 2x + 4y = 36' is the system of linear equations that represents the given situation.

Correct Answer is : 3x + 2y = 28, 2x + 4y = 36

Step: 1

The equation 'x + 2y = 10' represents the situation 'one glass of lemonade and two hamburgers cost $10'.

Step: 2

The equation ' 3x + 4y = 24' represents the situation 'three glasses of lemonade and four hamburgers cost $24'.

Step: 3

So, 'x + 2y = 10 and 3x + 4y = 24' is the system of linear equations that represents the given situation.

Correct Answer is : x + 2y = 10, 3x + 4y = 24

Step: 1

The equation '4x + 3y = 12' represents the situation 'four bars of soap and 3 mirrors cost $12'.

Step: 2

The equation '2x + 5y = 16' represents the situation 'two bars of soap and 5 mirrors cost $16'.

Step: 3

So, '4x + 3y = 12 and 2x + 5y = 16' is the system of linear equations that represents the given sitution.

Correct Answer is : 4x + 3y = 12, 2x + 5y = 16

Step: 1

The equation '3x + 5y = 99' represents the situation ' three baseball bats and 5 tennis ractkets cost $99.

Step: 2

The equation '2x +y = 35' represents the situation 'two baseball bats and 1 tennis racket cost $35.

Step: 3

So, '3x + 5y = 99 and 2x + y = 35' is the system of linear equations that represents the given situation.

Correct Answer is : 3x + 5y = 99, 2x + y = 35

Step: 1

[Total number of fruits = 20.]

Step: 2

Cost of x apples is $0.8x .

[Cost of an apple = $0.8.]

Step: 3

Cost of y orange is $0.5y .

[Cost of an orange = $0.5.]

Step: 4

Cost of 20 fruits is $13, so 0.8x + 0.5y = 13

[Total cost = $13.]

Step: 5

Correct Answer is : x + y = 20, 0.8x + 0.5y = 13

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