Calculate this question step by step to find the number In question mark

Question

Calculate 75000=3000/1.2-? What is the answer

Answer 1

75000=3000/1.2-? could mean 75000=3000/(1.2-?) or 75000=(3000/1.2)-?.

I'm assuming it's the first of these. Replace the question mark by x:

75000=3000/(1.2-x), multiply both sides by 1.2-x:

75000(1.2-x)=3000, expand the parentheses (distribute 75000):

90000-75000x=3000, add 75000x to each side:

90000=3000+75000x, subtract 3000 from each side:

87000=75000x, divide both sides by 75000:

87/75=x, so x=87/75 which reduces to x=29/25=1.16.

Another way:

75000=3000/(1.2-x), divide both sides by 3000:

25=1/(1.2-x), invert both sides:

1/25=1.2-x, convert 1/25 to decimal:

0.04=1.2-x, add x to each side:

x+0.04=1.2, subtract 0.04 from each side:

x=1.2-0.04=1.20-0.04=1.16.

Both methods produce the solution x (or ?)=1.16.