Need help with these show work pls

3. 35 adults and 420 children

4. The three numbers are 13, 52 and 16

Step-by-step 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

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!