Question 1108635
Let x be the number of adults in the group; then the number of children is (12-x).<br>
The total cost for the 12 people has to be less than (50-9) = 41.<br>
{{{4.75x + 2.75(12-x) <= 41}}}
{{{19x + 11(12-x) <= 164}}}  (I just multiplied by 4 to get rid of the decimals...)
{{{19x+132-11x <= 164}}}
{{{8x <= 32}}}
{{{x <= 4}}}<br>
The maximum possible number of adults is 4.<br>
CHECK: {{{4(4.75)+8(2.75) = 19+22 = 41}}}