Question

Wendy saves 30% of her income each month. ⅜ of her expenditures is spent on cosmetics, ⅙ of it is spent on transport and ⅖ of the remainder is spent on food. If she spends $469 on cosmetics and food altogether, how much does she save each month?

Answer 1

f = (2/5) (i - 3i/10 - 3i/8 - i/6) ... find f in terms of i

469 = 3i/8 + f ... substitute for f , then solve for i

s = 3i/10

Answer 2

What does i stand for?

Answer 3

Income = 100% = 100/100 = 1
Saving = 30% = 30/100 = 0.3
Expenditures = 70% = 0.7
Now we are going to calculate the rest
Cosmetics = 3/8 of 70% = 3/8(.7) = 0.2625
Transportation = 1/6 of 70% = 1/6(.7) = 0.1166
Reminder = 1 - (0.3 + 0.2625 + 0.1166) = 0.39086
Food = 2/5 of Reminder = 2/5(0.39086) = 0.4 (0.39086) = 0.156344
So now that we know all the pieces let us calculate her income
We know that she spends $469 on food plus cosmetics so:
f + c = 469
replace f with 0.156344x and c with 0.2625x
0.156344x + 0.2625x = $469
0.41844x = $469
x = 469/0.41844 = $1120
So Wendy makes $1120.83 per month
She saves 30% of her income = .3(1120.83) = $336.25 per month