Word Problem Three girls downloaded a total of 43 songs on their iPods. Jazmine downloaded triple as many as Inez and since Teresa wanted to have the most, she downloaded one more than Jazmine did. How many songs did each girl download?

Jazmine: 18

Inez:  6

Teresa: 19

Step-by-step explanation:

a + b + c = 43        ⇒ first equation

a = 3b                     ⇒ second equation

c = a + 1                  ⇒  third equation

a = songs that Jazmine downloaded

b = song that Inez downloaded

c = songs that Teresa downloaded

from the secon equation:

b = a/3

take the last equation and third equation into the first equation:

a + (a/3)  + (a+1) = 43

2a + a/3 = 43 - 1

6a/3 + a/3 = 42

7a/3 = 42

a = 42*3/7

a = 18

b = a/3

b = 18/3

b = 6

c = a+1

c = 18+1

c = 19

Check:

18 + 6 + 19 = 43

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

i believe it is c.y = 9x

rise over run. 9 units up over 1 unit right or 9/1