Step: 1

Let n be the strength of the each classroom.

Step: 2

4n = 148

[Write an equation.]

Step: 3

[Divide each side by 4.]

Step: 4

[Simplify.]

Step: 5

So, the strength of each classroom is 37.

Correct Answer is : 37

Step: 1

Let n be the cost of each book.

Step: 2

7n = 66.22

[Write an equation.]

Step: 3

[Divide each side by 7.]

Step: 4

[Simplify.]

Step: 5

The cost of each book is $9.46.

Correct Answer is : $9.46

Step: 1

Let n be the number of stamps collected by Brad.

Step: 2

So, the number of stamps collected by Frank = n + 67.

Step: 3

⇒ n + (n + 67) = 1003

[Write the equation for the total number of stamps collected by them.]

Step: 4

⇒ 2n + 67 = 1003

[Combine like terms.]

Step: 5

⇒ 2n = 936

[Subtract 67 from each side.]

Step: 6

⇒ n = 468

[Divide each side by 2.]

Step: 7

Therefore, Brad collected 468 stamps.

Correct Answer is : 468

Step: 1

Let x be the number of poles needed to fence the field.

Step: 2

[Write an equation.]

Step: 3

[Simplify.]

Step: 4

55 poles are needed to fence the field.

Correct Answer is : 55

Step: 1

5 + 4n = 33

[Original equation.]

Step: 2

5 + 4n - 5 = 33 - 5

[Subtract 5 from each side.]

Step: 3

4n = 28

[Combine like terms.]

Step: 4

[Divide each side by 4.]

Step: 5

[Simplify.]

Step: 6

Brian kept the DVD for 7 extra days.

Correct Answer is : 7

Step: 1

Let n be the number of shelves required to place 280 glasses.

Step: 2

[Original equation.]

Step: 3

[Divide each side by 7.]

Step: 4

[Simplify.]

Step: 5

40 shelves are needed to place 280 glasses.

Correct Answer is : 40

Step: 1

Let n be the number of racks required to place 36 books.

Step: 2

[Original equation.]

Step: 3

[Divide each side by 36.]

Step: 4

[Simplify.]

Step: 5

So, 20 racks are required to arrange 720 books.

Correct Answer is : 20

Step: 1

Let n be the amount earned by painting 49 boxes.

Step: 2

Amount earned = (cost of painting each box) x (number of boxes painted) n = 5 x 49

[Substitute the values.]

Step: 3

[Multiply.]

Step: 4

Charles earned $245 on that day.

Correct Answer is : $245

Step: 1

Let n be the amount received by each person.

Step: 2

Three people together earn $1110.

Step: 3

[Original equation.]

Step: 4

[Simplify.]

Step: 5

Each person receives $370.

Correct Answer is : $370

Step: 1

Let n be the number of pears in the box P .

Step: 2

Number of pears in the box Q = 2n

Step: 3

[Original equation.]

Step: 4

3n = 360

[Add.]

Step: 5

[Divide each side by 3.]

Step: 6

[Simplify.]

Step: 7

2n = 2 × 120 = 240

[Multiply.]

Step: 8

The box Q has 240 pears.

Correct Answer is : 240

Step: 1

Let n be the population of City-A.

Step: 2

[Original equation.]

Step: 3

= 68890

[Multiply.]

Step: 4

The population of City-A is 68890.

Correct Answer is : 68890

Step: 1

Let n be the number of chocolates each friend received.

Step: 2

102 = 2 × n + 34

[Original equation.]

Step: 3

68 = 2 × n

[Subtract 34 from each side.]

Step: 4

[Divide each side by 2.]

Step: 5

So, each of his friends received 34 chocolates.

Correct Answer is : 34

Step: 1

[Given equation.]

Step: 2

= 27x(27-1) 2

[Substitute.]

Step: 3

= 702 2

[Simplify.]

Step: 4

= 351

[Divide.]

Step: 5

Total number of games played = 351

Correct Answer is : 351

Step: 1

Let n be the number of adults.

Step: 2

Number of children = 6 - n

Step: 3

12n + 6(6 - n ) = 48

[Original equation.]

Step: 4

12n + 36 - 6n = 48

[Simplify.]

Step: 5

12n + 36 - 6n - 36 = 48 - 36

[Subtract 36 from each side.]

Step: 6

6n = 12

[Simplify.]

Step: 7

[Divide each side by 6.]

Step: 8

[Simplify.]

Step: 9

There are 2 adults and 4 children.

Correct Answer is : 2, 4

Step: 1

Let n be the number of cherries. Number of oranges is 83 - n .

Step: 2

Unit price of cherries = 12 2 = $6

[2 cherries cost $12.]

Step: 3

Unit price of oranges = 10 2 = $5

[2 oranges cost $10.]

Step: 4

6n + 5(83 - n ) = 440

[Original equation.]

Step: 5

6n + 5 x 83 - 5n = 440

[Simplify.]

Step: 6

[Subtract.]

Step: 7

[Subtract 415 from each side.]

Step: 8

The box contains 25 cherries and 58 oranges.

Correct Answer is : 25, 58

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