1/3 of the remainder on bills and saves $500 month. He spend 3 times more money of grocery than entertainment. If he is left with $850 for everyday expenses, what is the total salary

Question

Smith spends 1/4 of his money on groceries, 1/3 of the remainder on bills and saves $500 month. He spend 3 times more money of grocery than entertainment. If he is left with $850 for everyday expenses, what is the total salary

Answer 1

1/4 M= g= grocery spending is 1/4 of the salary

remainder = 3M/4=r

(1/3)(3M/4)=b= 1/3 of remainder on bill payments = M/4 plus savings= 500

g = 3e = 3 times as much on groceries as entertainment

e=g/3=(M/4)/3 =M/12

M=g+b+e+500+850= spending on groceries, bills, entertainment plus savings & left over money

M= M/4 +(M/4)+M/12+1350

M= 3M/12 + 3M/12 + M/12 + 1350

M - 7M/12 = 1350

5M/12= 1350

M= (12/5)1350

M =12(270) = $3240 per month salary (apparently no taxes withheld, no income taxes state or federal)

that's M/4= 3240/4= 810 on groceries. He eats well.

with 3/4 left remaining = 2430

1/3 of that spent on bills = 810, same as on food

and 500 more for savings

totaling 2(810)+500 =2120

entertainment is 1/3 of 810 grocery spending = 270

net total now up to 2120+270= 2390

850 left

2390+850 = 3240