Question

(7) The sum of five consecutive even integers is at least 400 . What is the minimum value of the first even integer? Choose from the following solutions:

A 80
B 70
C 76
D 82

Answer 1

C 76

Explanation:

let x = 1st number

let x+ 2 = 2nd number

let x + 4 = 3rd number

let x + 6 = 4th number

Let x + 8 = 5th number

x + x + 2 + x+ 4 + x + 6 + x + 8 = 400 Combine like terms

5x + 20 = 400 Subtract 20 from each side

5x = 380 Divide both sides by 5

x = 76

Check:

76 + 78 + 80 + 82 + 84 = 400