SOLUTION: A school band’s budget for next year will be at least $11,340 and at most $12,390. The band will set aside $420 for new music stands and $8,400 for travel and other expenses. They

Algebra ->  Inequalities -> SOLUTION: A school band’s budget for next year will be at least $11,340 and at most $12,390. The band will set aside $420 for new music stands and $8,400 for travel and other expenses. They       Log On


   



Question 935831: A school band’s budget for next year will be at least $11,340 and at most $12,390. The band will set aside $420 for new music stands and $8,400 for travel and other expenses. They will use the rest to buy 42 new uniforms. Which inequality shows the range of possible values of x, the dollar amount the band can spend per uniform?
A.60 ≤x ≤95
B.60 ≤x ≤85
C.70 ≤x ≤95
D.70 ≤x ≤85

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The band will set aside: $420%2B8400=8820
42 new uniforms will cost 42%2Ax
so, we have 42%2Ax%2B8820 and that should be at least $11340 and at most $12390.
11340+%3C=42x%2B8820%3C=+12390
11340-8820+%3C=42x%3C+=12390-8820
2520+%3C=42x%3C+=3570
2520%2F42+%3C=x%3C+=3570%2F42
60%3C=x%3C=+85
so, your answer is: B.60%3C=x%3C=+85