Algebra Word Problems

**Page 7**

61.

Justin spends $\frac{3}{4}$of his income on food. Find the amount he is left with.

a. | $\frac{1}{3}$ of his income | ||

b. | $\frac{1}{2}$ of his income | ||

c. | $\frac{1}{4}$ of his income | ||

d. | $\frac{1}{8}$ of his income |

The part of the income spent on food commodities =

The amount left with Justin = n -

=

[Write n as

=

[Multiply and divide the numerator and denominator of the first fraction by 4.]

=

The amount left with Justin is

Correct answer : (3)

62.

Josh earns $22 per hour. How many hours does he work, if he is paid $198?

a. | 8 hours | ||

b. | 9 hours | ||

c. | 7 hours | ||

d. | 10 hours |

Amount earned by Josh per hour = $22

= $22P

Amount earned by Josh in P hours = $22 × P

[Multiply.]

22 P = 198

[Substitute the values.]

P =

[Divide each side by 22.]

P = 9

[Divide.]

So, the number of hours taken to earn $198 is 9 hours.

Correct answer : (2)

63.

Frank is 16 times older than his son John. If his son is 2 years old, find Frank's age.

a. | 35 years | ||

b. | 29 years | ||

c. | 32 years | ||

d. | 27 years |

[Multiply.]

So, Frank is 32 years old.

Correct answer : (3)

64.

One of the angles of a triangle is 90^{o} . Find the remaining two angles if their difference is 20^{o} .

a. | 35 ^{o}, 55^{o} | ||

b. | 70 ^{o}, 20^{o} | ||

c. | 20 ^{o}, 90^{o} | ||

d. | 90 ^{o}, 35^{o} |

[As per the question.]

90

[Sum of the angles of a triangle = 180

2

[Solve.]

2

So, the remaining two angles of the triangle are 35

Correct answer : (1)

65.

A pop singer gives 54 performances in 81 days. How many days will he take to give 6 performances?

a. | 9 days | ||

b. | 15 days | ||

c. | 6 days | ||

d. | 48 days |

[As per the question.]

[Equate the number of performances per day.]

54

So, the pop singer will take 9 days to give 6 performances.

Correct answer : (1)