Henry gave Zoe $420. He then spent 1/4 of his remaining money on a bag. As a result, he had 6/11 of his money left. How much money did Henry have at first?
A. $420
B. $140
C. $1,540
starts with x dollars
then spends 420
now has x - 420
spends 1/4 of this leaving 3/4 of this :
(x-420) * 3/4 = 6/11 x solve for x
3/4 x - 315 = 6/11 x
x = 1540 dollars initially