Use photomath lol it’s quick with those
Answer:
Step-by-step explanation:
A(1.00) + S(0.50) = 500
A + S = 900
S = 900 - A
A(1.00) + (900 - A)(0.50) = 500
A + 450 - 0.5A = 500
0.5A = 50
A = 100 adults
S = 900 - 100
S = 800 students
Multiples of 3 plus 1 remainder are:
3n+1
Multiples of 4 plus 1 remainder are:
4n+1
Since these multiples must be the same number must be a multiple of 12 plus a remainder of one, which is:
12n+1
And the smallest such three digit number is:
12n+1>99 subtract 1 from both sides
12n>98 divide both sides by 12
n>8.17
Since n must be an integer, n=9
So then number is 12n+1
12(9)+1=109
