﻿ Algebra Word Problems - Page 3 | Problems & Solutions

# Algebra Word Problems - Page 3

Algebra Word Problems
• Page 3
21.
Paula has 21 marbles in her marble collection. Her friend gave her 3 marbles. How many marbles does Paula have now?
 a. 21 b. 26 c. 24 d. 20

#### Solution:

Let b be the number of marbles in Paula Ã¢â‚¬â„¢s collection now.

Number of marbles in Paula Ã¢â‚¬â„¢s collection now = number of marbles she has + number of marbles her friend gave her.

b = 21 + 3
[Substitute the number of marbles.]

b = 24

So, Paula has to 24 marbles in her collection now.

22.
There were 70 people in a movie theatre. How many children were there if 30 of them were adults?
 a. 45 b. 42 c. 40 d. 38

#### Solution:

Let n be the number of children in the theatre.

Number of children = total number of people - number of adults.

n = 70 - 30
[Substitute the values.]

n = 40
[Subtract.]

So, 40 children were there in the theatre.

23.
Sheila collected 14 seashells and Juan collected 8 seashells on an island. How many more seashells did Sheila collect than Juan?
 a. 9 b. 8 c. 6 d. 5

#### Solution:

Let m be the number of seashells that Sheila collected more than Juan.

Number of more seashells Sheila collected = number of seashells Sheila collected - number of seashells Juan collected.

m = 14 - 8
[Substitute the values.]

m = 6
[Subtract.]

So, Sheila collected 6 seashells more than Juan.

24.
A greeting card store sold 50 birthday cards and 25 anniversary cards last month. Find the total number of cards that the store sold last week.
 a. 65 b. 85 c. 75 d. 55

#### Solution:

Let n be the total number of cards the greeting card store sold.

Total number of cards sold = number of birthday cards sold + number of anniversary cards sold.

n = 50 + 25
[Substitute the values.]

n = 75

So, the store sold 75 cards last week.

25.
Jerald received $18 from his aunt for his birthday. He spent$ 2 on purchasing a toy car. Choose which operation you would use to find how much he is left with. Then find the answer.
 a. Addition, $15 b. Subtraction,$ 16 c. Subtraction, $15 d. Addition,$ 16

#### Solution:

Let m be the money he is left with.

Money he is left with = money he received from his aunt - money he spent on purchasing the toy car.

m = 18 - 2
[Substitute the values.]

m = 16
[Subtract.]

So, subtraction operation helps us to find the amount left with Jerald . Jerald is left with $16. Correct answer : (2) 26. Bonnie scored 14 points. David scored 8 more points than Bonnie. Choose which operation you would use to find how many points David scored. Then find the answer.  a. Addition, 22 b. Subtraction, 22 c. Subtraction, 8 d. Addition, 8 #### Solution: Let b be the points David scored. Number of points David scored = number of point Bonnie scored + number of more point David scored than Bonnie. b = 14 + 8 [Substitute the values.] b = 22 [Add.] So, we will use addition operation to find the points David scored. David scored 22 points. Correct answer : (1) 27. A mother wants to distribute candies to her two sons according to the ratio of their ages. The younger son is 6 years old and the older one is 8 years old. If the younger son receives 12 candies, then how many candies will the elder son receive?  a. 15 b. 16 c. 17 d. 14 #### Answer: (b) Correct answer : (2) 28. Solve the proportion $\frac{3}{x}$ = , using the cross product property.  a. - 6 b. 7 c. - 7 d. 6 #### Answer: (a) Correct answer : (1) 29. Solve the proportion $\frac{2}{x}$ = , using the cross product property.  a. - 3, 2 b. 6, - 4 c. - 6, 4 d. 3, - 2 #### Answer: (a) Correct answer : (1) 30. Joe bought 3 pizzas for$2.5. How much will he have to pay to buy 6 pizzas. Use proportions to find the amount.
 a. $5 b.$4 c. $6 d.$15