EOG Word Problem Review #3

A train arrives at the station with 150 passengers on board. 2/5 of the passengers get off the train in Seattle, and then 35 passengers board the train. How many passengers are on the train when it leaves the station?

• 125

• 410

• 55

• 95

Answer explanation

150 x 2 5 = 60 people get off 150 – 60 + 35 = 125 125 passengers are on board the train when it leaves the station.

In a sale Gameboys are reduced by two-fifths. What is the sale price if the original price was $50.00?

• $20.00

• $30.00

• $125.00

• $70.00

Answer explanation

2/5 X 50 = 20. The regular price of $50 was reduced by $20, so the sales price of the Game Boy is $30.00.

A fruit dealer imported 3 boxes of grapes to be given equally to his 50 regular fruit sellers as part of their gift last Christmas season. Using a fraction, how many boxes of grapes will each fruit seller receive?

• 1667/10,000

• 50/3

• 3/50

• 150/1000

Answer explanation

Each fruit seller will receive 3/50 box of grapes.

At a school, there are 864 students and 80 staff members. 5/8 of the students are boys.

The school bus service is only offered to grade 1 and 2 students. 5/24 of the total number of students are in grades 1 and 2. 4/7 of the grades 1 and 2 take the school bus to school. What fraction of all students take the school bus to school?

• 1/8

• 35/96

• 5/42

• 175/768

Answer explanation

5/24 × 4/7 = 5/42 5/42 of all the students take the school bus to school.

The farmer bought 2.5 sacks of fertilizer for $2.20 per sack and 4.5 sacks of essential soil for $1.80 for each sack from the supplier. If he gave a $15 bill to the supplier, how much would his change be?

• $1.40

• $0.60

• $1.00

• $2.00

Answer explanation

2.5 x 2.20 = 5.5 4.5 x 1.80 = 8.10 15 – (5.5 + 8.1) = 15 – 13.60 = 1.40 He will receive $1.40 in change.

At a customer service center, a short call is defined as any call that is shorter than 5.5 minutes. The average call time on weekdays is 6.4 minutes. The average call time on weekends is 9.38 minutes.

On a Monday, each customer service representative received 8.7 calls per hour. What is the average time spent on calls per hour for each staff?

• 81.606 minutes

• 55.68 minutes

• 25.926 minutes

• 7.83 minutes

Answer explanation

Monday is a weekday. The average call length on a weekday is 6.4 minutes.

8.7 x 6.4 = 55.68 The average time spent on calls per hour is 55.68 minutes.

A block that is 2 inches wide, 3 inches long, and 2 inches tall. What is the volume of a tower that is built by 3 blocks?

• 15 cubic inches

• 21 cubic inches

• 36 cubic inches

• 18 cubic inches

Answer explanation

Volume = L X W X H

2 x 3 x 2 = 12 is the volume of 1 block.

12 x 3 = 36 is the volume of 3 blocks. The volume of a tower built by 3 blocks is 36 cubic inches.

A fitness center has a swimming pool and a gym. There are 3,924 members in the fitness club. There are two kinds of membership: regular and VIP. Each regular member pays $25 per month and each VIP member pays $480 per year.

How much more does a VIP member pay than a regular member over a year for the fitness center membership?

• $15.00

• $230.00

• $150.00

• $180.00

Answer explanation

480 – (25 x 12) = 180

A VIP member pays $180 more than a regular member over a year for the membership.

At the gym, Hillary swims every 6 days, runs every 4 days, and cycles every 16 days. If she did all three activities today, in how many days will she do all three activities again on the same day?

• 26

• 48

• 384

• 32

Answer explanation

Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52.

Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54.

Multiples of 16 = 16, 32, 48.

The lowest common multiple between 4, 6, and 16 is 48. In 48 days, she will do all three on the same day.