Question 1066081
he spent 1/3 of his income on housing and 2/5 of his income on his daily expenditures.
he saved the rest, which was equal to 24600.
what was his total income?


total that he spent was 1/3 + 2/5 of his income.
1/3 * 5/5 = 5/15
2/5 * 3/3 = 6/15
total that he spent was 5/15 + 6/15 = 11/15 of his income.
that means he saved 4/15 of his income.


let x = his income.
4/15 * x = 24,600
multiply both sides of this equation by 15/4 to get:
4/15 * 15/4 * x = 24,600 * 15/4
solve for x to get:
x = 92,250.


to check do the following/


he spent 1/3 of his income on housing.
that becomes 1/3 * 92,250 = 30,750


he spent 2/5 of his income on his daily expenditure.
that becomes 2/5 * 92,250 = 36,900


add those up to get total expenditures of 67,750


subtract that from 92,250 to get 24,600


the solution looks good.


his total income last year was 92,250.