Answer:
3. 35 adults and 420 children
4. The three numbers are 13, 52 and 16
Explanation:
3. Let the number of adults be x.
Since there are 12 times more children than adults,
number of children= 12x
Total number of people= 12x +x
13x= 455
x= 455 ÷13
x= 35
12x= 35(12)
12x= 420
Therefore, there are 35 adults and 420 children at the play.
4. Let the first number be x.
Since the 2nd number is 4 times the first,
2nd number= 4x
Third number is 3 more than the first:
3rd number= x+3
sum of numbers= x +4x +x+3
6x +3= 81 (simplify)
6x= 81 -3 (bring constant to 1 side)
6x= 78 (simplify)
x= 78 ÷6
x= 13
Second number
= 4x
= 4(13) (subst. x=13)
= 52 (expand)
third number
= x +3
= 13 +3 (subst. x=13)
= 16