Question

Jada, Nicholas, Nita, and Calvin shared $60. Jada received 1/2 of the total amount of money Nicholas, Nita, and Calvin received. Nicholas received 2/3 of the total amount of money Nita and Calvin received. Nita received 3 times as much as calvin.

(a) how much money did jada receive?
(b) how much more money did nicholas receive than calvin?

Answer 1

J+Nk+Ni+C=60
J=1/2 (Nk+Ni+C)
Nk=2/3 (Ni+C)
Ni=3C

take first equation,put second in it.

3/2 Nk + 3/2Ni+3/2C=60
or Nk+Ni+C=40

Then J=20*****

Now take
Nk=2/3 (Ni+C)
Ni=3C
to get Nk=2/3(4C=8/3 C
But 20=1/2 (Nk+Ni+C) or
40=8/3 C + 3C + C so figure C...