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
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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! Let = number of boys in the band
Let = number of girls in the band
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On monday:
(1)
On tuesday:
(2)
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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)
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Add (1) and (2)
(2)
(1)
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and
(2)
(2)
(2)
(2)
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100 students ( 50 girls and 50 boys ) are in the band
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check:
(1)
(1)
(1)
OK
(2)
(2)
(2)
OK
(