Question

When 2.5 times a number n is subtracted from 6.1, the result is −11.4.

Write an equation to represent this statement and find the value of n.
Write an equation

Answer 1

" 2.5 times a number 'n' " = 2.5n

" 2.5n is subtracted from 6.1 " . . . . that's 6.1 - 2.5n

" the result is -11.4 " . . . . . so 6.1 - 2.5n = -11.4

Add 11.4 to each side : 17.5 - 2.5n = 0

Add 2.5n to each side: 17.5 = 2.5n

Divide each side by 2.5 : 7 = n