SOLUTION: A zoo charges admission of 4.75 for adults and 2m75 for children. A grup of 12 peiple paid for addmision with a50 dollar bill. If the group recieved at least 9.00 in change what is

Algebra ->  Expressions-with-variables -> SOLUTION: A zoo charges admission of 4.75 for adults and 2m75 for children. A grup of 12 peiple paid for addmision with a50 dollar bill. If the group recieved at least 9.00 in change what is      Log On


   

Question 1108635: A zoo charges admission of 4.75 for adults and 2m75 for children. A grup of 12 peiple paid for addmision with a50 dollar bill. If the group recieved at least 9.00 in change what is the maximum number of adults in the group
Answer by greenestamps(13215) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the number of adults in the group; then the number of children is (12-x).

The total cost for the 12 people has to be less than (50-9) = 41.

4.75x+%2B+2.75%2812-x%29+%3C=+41
19x+%2B+11%2812-x%29+%3C=+164 (I just multiplied by 4 to get rid of the decimals...)
19x%2B132-11x+%3C=+164
8x+%3C=+32
x+%3C=+4

The maximum possible number of adults is 4.

CHECK: 4%284.75%29%2B8%282.75%29+=+19%2B22+=+41