Step: 1

Let l be the length of the piece.

Step: 2

28 + l = 50

[Original equation.]

Step: 3

28 + l - 28 = 50 - 28

[Subtract 28 from each side.]

Step: 4

[Simplify.]

Step: 5

So, the length of the other piece is 22 cm.

Correct Answer is : 22 cm

Step: 1

Let w be the weight of the second box.

Step: 2

285 + w = 666

[Write a linear equation for the total weight of the two boxes.]

Step: 3

285 + w - 285 = 666 - 285

[Subtract 285 from each side.]

Step: 4

[Simplify.]

Step: 5

So, the weight of the second box, w is 381 lb.

Correct Answer is : 381 lb

Step: 1

Let x be the price on the tag.

Step: 2

The price Andrew paid for the shirt = $(x - 3)

Step: 3

[Write an equation.]

Step: 4

[Add 3 on each side.]

Step: 5

[Simplify.]

Step: 6

The price on the tag is $42.

Correct Answer is : $42

Step: 1

Let p be the gallons of gasoline consumed for Tim's trip

Step: 2

34 = 2 × p

[Write an equation.]

Step: 3

[Divide each side by 2.]

Step: 4

17 = p

[Simplify.]

Step: 5

So, 17 gallons of gasoline was consumed on Tim's trip

Correct Answer is : 17

Step: 1

Let x be the age of George, then the age of Ethan is x - 7.

Step: 2

[Write an equation.]

Step: 3

[Add 7 to each side.]

Step: 4

[Simplify.]

Step: 5

The age of George is 57 years.

Correct Answer is : 57

Step: 1

Let 's ' be the savings of Rachel.

Step: 2

Savings + Expenditure = Total income.

Step: 3

[Substitute the values.]

Step: 4

[Subtract 210 from each side to isolate s .]

Step: 5

[Simplify.]

Step: 6

So, the savings of Rachel is $5190.

Correct Answer is : $5190

Step: 1

Let p be the cost of the article.

Step: 2

[Original Equation.]

Step: 3

[Multiply each side by 5.]

Step: 4

[Simplify.]

Step: 5

The cost of the article is $935.

Correct Answer is : $ 935

Step: 1

Quantity of cider in each bottle x No. of bottles = Total Quantity of cider in all bottles.

Step: 2

Let n be the number of bottles.

Step: 3

4 x n = 2 x 32

[Original Equation, since 1 Quart = 32 fluid ounces.]

Step: 4

4n = 64

Step: 5

[Divide each side by 4.]

Step: 6

[Simplify.]

Step: 7

The number of bottles needed to hold 2 quarts of cider is 16.

Correct Answer is : 16

Step: 1

Let b be the cost of a full-carton of biscuits.

Step: 2

[Write an equation.]

Step: 3

[Multiply each side by 2.]

Step: 4

[Simplify.]

Step: 5

The cost of a full-carton of biscuits is $260.

Correct Answer is : $260

Step: 1

Let, t be the money Rachel paid for tax and tip.

Step: 2

20 + t = 24

[Original equation.]

Step: 3

20 + t - 20 = 24 - 20

[Subtract 20 from each side.]

Step: 4

[Simplify.]

Step: 5

Rachel paid $4 for tax and tip.

Correct Answer is : $4

Step: 1

New balance = previous balance + deposited amount

Step: 2

Let d be the amount deposited in the bank.

Step: 3

9656 + d = 18785

[Equation.]

Step: 4

9656 + d - 9656 = 18785 - 9656

[Subtract 9656 from each Side.]

Step: 5

[Simplify.]

Step: 6

Sunny deposited $9129 in his account.

Correct Answer is : $9129

Step: 1

Number of games won by Team-A = Number of games won by Team-B + 6

Step: 2

Let x be the Number of games won by Team-B.

Step: 3

[Equation.]

Step: 4

[Subtract 6 from each side.]

Step: 5

[Simplify.]

Step: 6

Team-B won 2 games.

Correct Answer is : 2

Step: 1

Average age = Sum of their ages Number of boys

[In words.]

Step: 2

Let s be the sum of their ages.

Step: 3

4 = s 13

[Equation.]

Step: 4

4 x 13 = ( s 13 ) x 13

[Multiply each side by 13 to isolate x .]

Step: 5

52 = s

[Simplify.]

Step: 6

So, sum of the ages of 13 boys is 52 years.

Correct Answer is : 52 years

Step: 1

Number of days taken by Andrew = Number of days taken by Josh + 14

Step: 2

Let d = the number of days taken by Andrew

Step: 3

[Equation.]

Step: 4

[Simplify.]

Step: 5

Andrew can complete the same work in 59 days.

Correct Answer is : 59 days

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