Percentage, Rate, Base Word Problems

In a class of 30 children, 60% of them are girls. How many girls are there in the class?

Answer explanation

We need to find the percentage:

30 × 0.6 = 18

At a bookstore, 15% of 40 students who were shopping bought a dictionary. How many students bought a dictionary?

Answer explanation

We need to find the percentage:

40 × 0.15 = 6

In UPIS, 25% of the teachers are teaching Math. If there were 50 Math teachers, how many teachers are there in the school?

Answer explanation

We need to find the base:

50 ÷ 0.25 = 200

At the Ayala Museum, 40% of the visitors are children. There are 36 children at the museum. How many visitors are there at the museum?

Answer explanation

We need to find the base:

36 ÷ 0.4 = 90

Emilio earns Php 1000 on his part time job. He spent Php 200 to buy food. What percent of his earnings did he spend on food?

Answer explanation

We need to find the rate:

200 ÷ 1000 = 0.2

Remember: Rate must be expressed in percent.

0.2 × 100 = 20%

A batch of 110 students took an English test. If 99 students passed the test, what percent of the students did not pass the test?

Answer explanation

Find the number of students that did not pass the test.

110 - 99 = 11

We need to find the rate:

11 ÷ 110 = 0.1

Remember: Rate must be expressed in percent.

0.1 × 100 = 10%

In a survey of 300 children, 15% did not know how to ride a bike. How many children cannot ride a bike?

Answer explanation

We need to find the percentage:

300 × 0.15 = 45

A test has 50 questions. If Ethan gets 80% correct, how many questions did he answer correctly?

Answer explanation

We need to find the percentage:

50 × 0.8 = 40

In a concert, 10% of the 200 attendees are VIPs. If 20% of the VIPs left early. How many VIPs left early?

Answer explanation

We need to find the percentage:

First, find the number of VIPs

200 × 0.1 = 20 VIPs

Find the number of VIPs that left early

20 × 0.2 = 4 VIPs left early

Jacob shared 60% of his candies to his friends. If 28 candies were left with him, how many candies did Jacob had at first?

Answer explanation

Since Jacob gave the 60% of the candies to his friends, then the remaining 40% were left with him.

We need to find the base:

28 ÷ 0.4 = 70