Question

divide 4500 into two parts such that 5% of the first part is equal to 10% of the second part

Answer 1

let part 1 be x and part 2 be y.
so, 5% of x is equal to 10% of y.
we know that x plus y is 4500.
hence, x= 4500-y

so, 5/100 x (4500-y) = 10y/100
       4500 - y/20 = y/10
        hence, 10( 4500 - y) = 20y
               45000 - 10y = 20y
              45000 = 30y
                so, y is equal to 45000/30 = 1500
and x is equal to 4500 - y = 4500 - 1500 = 3000.

            ANSWER = PART 1 IS 1500 AND PART 2 IS 3000.