Algebra Word Problems

**Page 6**

51.

Bill gave $\frac{1}{10}$ ^{th} of his salary to the poor people. What is he left with?

a. | $$\frac{\mathrm{9x}}{10}$ | ||

b. | $10$x$ | ||

c. | $$\frac{\mathrm{x}}{10}$ | ||

d. | $$\frac{\mathrm{x}}{2}$ |

The amount he gave to the poor =

[Multiply

The amount left with Bill = Salary Bill got - The amount he gave to the poor

=

[Substitute the values.]

=

[Multiply and divide the numerator and denominator of the first fraction by 10.]

=

[Subtract the numerators.]

Correct answer : (1)

52.

Find Nancy's age, if she was 17, 17 years ago .

a. | 34 | ||

b. | 39 | ||

c. | 24 | ||

d. | 44 |

The present age of Nancy = Nancy's age 17 years ago + 17

[Write the algebraic expression.]

[Substitute.]

[Add.]

So, Nancy is 34 years old.

Correct answer : (1)

53.

Paul bought 5 pencils. Find the cost of one pencil, if the cost of ten pencils was $10.

a. | $3 | ||

b. | $1 | ||

c. | $4 | ||

d. | $2 |

The cost of one pencil = Cost of ten pencils ÷ number of pencils

[Write an algebraic expression.]

[Substitute.]

[Divide 10 with 5.]

So, the cost of one pencil is $2.

Correct answer : (4)

54.

Ethan, Sam, Josh, and George went to a movie. Find the cost of one ticket, if they paid $48 for four tickets.

a. | $17 | ||

b. | $12 | ||

c. | $15 | ||

d. | $14 |

The cost of one ticket = cost of all the tickets ÷ number of tickets

[Write an Algebraic expression.]

[Substitute.]

[Divide 48 with 4.]

So, the cost of one ticket is $12.

Correct answer : (2)

55.

Christina visits a food store. She wants to buy 14 burgers. Find the cost of 14 burgers if the cost of one burger is $4.

a. | $56 | ||

b. | $61 | ||

c. | $51 | ||

d. | $66 |

Cost of 14 burgers = cost of one burger x 14

[Write an algebraic expression.]

[Substitute.]

[Multiply.]

So, the cost of 14 burgers is $56.

Correct answer : (1)

56.

Edward spends $\frac{4}{9}$ of his salary on luxuries. How much is left with him?

a. | $\frac{4}{5}$ of his salary | ||

b. | $\frac{5}{9}$ of his salary | ||

c. | $\frac{1}{9}$ of his salary | ||

d. | $\frac{4}{9}$ of his salary |

The amount he spends on luxuries =

[Multiply p with

The amount left with Edward = Salary Edward gets - the amount he spends on luxuries.

= p -

[Substitute the values.]

=

[Multiply and divide the numerator and denominator of the first fraction by 9.]

=

[Subtract the numerators.]

Correct answer : (2)

57.

Lydia has $68. He buys 2 shirts that cost $13 each. How much is she left with after buying the shirts?

a. | $42 | ||

b. | $66 | ||

c. | $72 | ||

d. | $70 |

Money left = money Lydia has - (cost of one shirt × number of shirts)

[Write an algebraic expression.]

[Substitute.]

[Multiply.]

[Subtract 26 from 68.]

So, Lydia is left with $42.

Correct answer : (1)

58.

William and Tim ran a fundraising campaign. William collected $6 more than Tim. How much did William collect, if Tim collected $12?

a. | $19 | ||

b. | $21 | ||

c. | $23 | ||

d. | $18 |

Money collected by William = money collected by Tim + extra dollars collected by William

[Write an Algebraic expression.]

[Substitute.]

[Add.]

So, William collected $18.

Correct answer : (4)

59.

Jessica buys a box of marbles. The box has 5 dozen marbles. Find the number of marbles in the bag.

a. | 48 | ||

b. | 72 | ||

c. | 60 | ||

d. | 66 |

Number of marbles in the bag = number of dozens x 12

[Write an algebraic expression.]

[Convert dozens to number as 1 dozen = 12.]

[Multiply.]

Number of marbles in the bag = 60.

Correct answer : (3)

60.

How many students are there in Mrs. Zelma's class, if there are 24 boys and 26 girls in the class?

a. | 54 | ||

b. | 48 | ||

c. | 50 | ||

d. | 56 |

Number of students in Mrs. Zelma's class = number of boys + number of girls

[Write an algebraic equation.]

[Substitute.]

[Add.]

So, there are 50 students in Mrs. Zelma's class.

Correct answer : (3)