Step: 1

$1.23 = 123 cents.

[Converting dollars to cents]

Step: 2

Let x be the number of pages he can copy.

Step: 3

3x ≤ 123

[Original inequality.]

Step: 4

[Divide each side by 3.]

Step: 5

[Simplify.]

Correct Answer is : x ≤ 41

Step: 1

Let m be the amount George had in his pocket before he went shopping.

Step: 2

Money in George's pocket before shopping - Money spent ≥ Money left over

Step: 3

[Original inequality.]

Step: 4

[Add 274 to each side.]

Step: 5

[Simplify.]

Step: 6

George had at least $358 before he went shopping.

Correct Answer is : At least $358

Step: 1

Let x be the cost of each dress.

Step: 2

As she can buy at most 3 dresses, the total cost of the 3 dresses is less than or equal to $186.

Step: 3

3x ≤ 186

[Write the inequality.]

Step: 4

[Divide by 3 on each side.]

Step: 5

[Simplify.]

Step: 6

The maximum cost of each dress is $62.

[As x ≤ 62, the maximum value of x is 62.]

Correct Answer is : $62

Step: 1

Let a be the present age of Nathan.

Step: 2

[Write an inequality.]

Step: 3

[Subtract 6 from each side.]

Step: 4

[Simplify.]

Step: 5

Nathan's present age is above 9 years.

Correct Answer is : Above 9 years

Step: 1

The sum of two numbers is more than 292.

[In words.]

Step: 2

Let x be the unknown number.

Step: 3

[Original Inequality.]

Step: 4

[Subtract 181 from each side.]

Step: 5

[Simplify.]

Step: 6

The other number is greater than 111.

Step: 7

Among the choices, the number greater than 111 is 117.

Step: 8

So, 117 is the other number.

Correct Answer is : 117

Step: 1

Let x be the cost of each burger.

Step: 2

9x ≤ 90

[Original inequality.]

Step: 3

[Divide by 9 on each side.]

Step: 4

[Simplify.]

Step: 5

The maximum cost of each burger is $10.

Correct Answer is : $10

Step: 1

The total score in the two tests should at least be 150.

Step: 2

Let m be the score obtained by Victor in the second test.

Step: 3

80 + m ≥ 150

[Original inequality.]

Step: 4

80 + m - 80 ≥ 150 - 80

[Subtract 80 from each side.]

Step: 5

[Simplify.]

Step: 6

Among the choices, the value which satisfies the inequality is 70.

Step: 7

So, Victor scored 70 in the second test.

Correct Answer is : 70

Step: 1

Let a be the amount in Edward's savings account.

Step: 2

[Write an inequality.]

Step: 3

[Add 1382.75 to each side.]

Step: 4

[Simplify.]

Step: 5

Edward should have atleast $1882.75 in his account.

Correct Answer is : $1882.75

Step: 1

Let x be the number of tickets sold.

Step: 2

5x - 1500 = 1000

[Write an equation.]

Step: 3

5x - 1500 + 1500 = 1000 + 1500

[Add 1500 on each side.]

Step: 4

5x = 2500

[Simplify.]

Step: 5

[Divide each side by 5.]

Step: 6

[Simplify.]

Step: 7

500 tickets were sold for the lotto game.

Correct Answer is : 500

Step: 1

Let x be the amount owned by Tim.

Step: 2

Amount owned by Dennis = $(x - 6)

Step: 3

[Write an equation.]

Step: 4

2x - 6 = 14

[Simplify.]

Step: 5

2x - 6 + 6 = 14 + 6

[Add 6 on each side.]

Step: 6

2x = 20

[Simplify.]

Step: 7

[Divide both sides by 2.]

Step: 8

[Simplify.]

Step: 9

The amount owned by Tim is $10.

Step: 10

The amount owned by Dennis is $4.

[10 - 6 = 4.]

Correct Answer is : $4

Step: 1

Let c be the number of CDs that Ursula can rent with her money.

Step: 2

36 = 15 + 3c

[Write an equation.]

Step: 3

36 - 15 = 15 + 3c - 15

[Subtract 15 from each side.]

Step: 4

21 = 3c

[Combine like terms.]

Step: 5

[Divide each side by 3.]

Step: 6

7 = c

[Simplify.]

Step: 7

Ursula can rent 7 CDs.

Correct Answer is : 7

Step: 1

Let p be the number of pastries that William bought.

Step: 2

28 = 16 + 4p

[Write an equation.]

Step: 3

28 - 16 = 16 + 4p - 16

[Subtract 16 from each side.]

Step: 4

12 = 4p

[Combine like terms.]

Step: 5

[Divide each side by 4.]

Step: 6

3 = p

[Simplify.]

Step: 7

William bought 3 pastries.

Correct Answer is : 3

Step: 1

Let c be the cost of one pencil.

Step: 2

3 pencils cost + 1 eraser cost = 2.65

Step: 3

3c + 0.40 = 2.65

[Write the equation.]

Step: 4

3c + 0.40 - 0.40 = 2.65 - 0.40

[Subtract 0.40 from each side.]

Step: 5

3c = 2.25

[Simplify.]

Step: 6

[Divide each side by 3.]

Step: 7

[Simplify.]

Step: 8

The cost of one pencil is $0.75

Correct Answer is : $0.75

Step: 1

The perimeter of a triangle is equal to the sum of its sides.

Step: 2

19 = (t + 2) + (t + 4) + (2t - 3)

[Substitute the values.]

Step: 3

19 = 4t + 3

[Combine like terms.]

Step: 4

19 - 3 = 4t + 3 - 3

[Subtract 3 from each side.]

Step: 5

16 = 4t

[Simplify.]

Step: 6

[Divide each side by 4.]

Step: 7

4 = t

[Simplify.]

Step: 8

The value of t is 4 .

Correct Answer is : 4

Step: 1

Let $x be the amount owned by John.

Step: 2

Amount owned by Jake = $(x - 4)

Step: 3

[Write an equation.]

Step: 4

2x - 4 = 18

[Simplify.]

Step: 5

2x - 4 + 4 = 18 + 4

[Add 4 on each side.]

Step: 6

2x = 22

[Simplify.]

Step: 7

[Divide both sides by 2.]

Step: 8

[Simplify.]

Step: 9

The amount owned by John is $11.

Step: 10

The amount owned by Jake is $7.

[11 - 4 = 7.]

Correct Answer is : $7

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