SOLUTION: On Monday 30 girls and zero boys in Crescent Valley band missed practice resulting in a 2 to 5 ratio of girls to boys on Tuesday 30 girls and 40 boys miss practice resulting in a 2

Question 1043064: On Monday 30 girls and zero boys in Crescent Valley band missed practice resulting in a 2 to 5 ratio of girls to boys on Tuesday 30 girls and 40 boys miss practice resulting in a 2 to 1 ratio of girls to boys how many students are in the band
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39616) (Show Source): You can put this solution on YOUR website!
x girls and y boys are in the band.

MONDAY

-

TUESDAY

-

Solve this system: . Any method you want.

as a first step using Elimination Method...
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of boys in the band
Let = number of girls in the band
----------------------------------
On monday:
(1)
On tuesday:
(2)
----------------------------
There are 2 equations and 2 unknowns, so it's solvable
Multiply both sides of (1) by
(1)
(1)
(1)
and
Multiply both sides of (2) by
(2)
(2)
(2)
-----------------------
Add (1) and (2)
(2)
(1)
--------------------

and
(2)
(2)
(2)
(2)
-----------------------
100 students ( 50 girls and 50 boys ) are in the band
-----------------------
check:
(1)
(1)
(1)
OK
(2)
(2)
(2)
OK
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