Respuesta :
The son gets 1/3 of 42,000, so you divide 42,000 by 3 and get the amount Mr. Joshi gave to his son. Then you do the same for charity, but instead divide 42,000 by 5. Then you add both values and subtract them from 42,000, and then you have what he gave to his wife.
x (amount wife got) = 42,000 - [(42,000/3) + (42,000/5]
x = 42,000 - [14000+8400]
x = 42,000 - 22,400
x = 19,600
Hope this helps!
Let x represent the total amount, then set up the equation as follows:
Son + Charity + Wife = Total
[tex] \frac{1}{3} [/tex]x + [tex] \frac{1}{5} [/tex]x + 42,000 = x
[tex] \frac{8}{15} [/tex]x + 42,000 = x added like terms
42000 = [tex] \frac{7}{15} [/tex]x subtracted [tex] \frac{8}{15} [/tex]x from both sides
90000 = x multiplied [tex] \frac{15}{7} [/tex] on both sides
Answer: $90,000