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

idk

step-by-step explanation:

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