Question

The sum of an integer and 8 more than half of this integer is at most 59. What is the maximum value of this

integer?

Answer 1

The biggest number usable is 34

Explanation:

x + (1/2 x + 8) ≤ 59 Remove the brackets

x + 0.5x + 8 ≤ 59 Combine

1.5x + 8 ≤ 59 Subtract 8

1.5x ≤ 59 - 8 Combine

1.5x ≤ 51 Divide by 1.5

1.5x/1.5 ≤ 51/1.5

x ≤ 34