Question

There are 70 students in the school band. 40% of them are sixth-graders, 20% are seventh graders, and the rest are eighth-graders. How many band members are seventh-graders?

Answer 1

Answer:

The answer to your question is 14 students

Step-by-step explanation:

Data

Total students = 70

40% sixth-graders

20% seventh graders

40% eighth graders

The Number of seventh-graders = ?

Process

1.- Use proportions and cross multiplication to solve this problem

                 70 students ----------------------- 100 %

                  x                   ----------------------  20 %

                  x = (20 x 70) / 100

                  x = 1400 / 100

                 x = 14 students are seventh-graders

                  70 students --------------------- 100 %

                  x                   ---------------------   40%

                  x = (40 x 70) / 100

                  x = 2800 / 100

                  x = 28 students are sixth graders

Eighth-graders = 70 - 14 - 28

                         = 28

                 

                 

Answer 2

Answer:

14 students are 7th graders.

Step-by-step explanation:

Since you know 20% of 70 are seventh graders, convert 20% into a decimal and then multiply it by 70 to get 14 students:

20% = 0.2

0.2(70) = 14 seventh grade band members