Give a rule for finding the first of four consecutive integers if you know the sum of the four integers.

If we write the first integer as the variable n, all numbers that come after it can be written as n+1, n+2, etc.

so the sum of four consecutive integers is:

sum = n + (n+1) + (n+2) + (n+3)

if we simplify:

sum = 4n +6

and if we want to know what the first integer is, we can re-write the equation as:

= n

and that is your answer.

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!