14, both parties brought some money. If A gets half of B's money, then A * * * has 50. If B gets two-thirds of A's money, then B also has 50. Q: How much did Party A and Party B bring?

Solution: suppose a brings money a and b brings money B.

a+ 1/2b=50( 1)

b+2/3a=50(2)

simplify

2a+b= 100(3)

3b+2a= 150(4)

(4)-(3)

2b=50

B=25 yuan.

A=50-25/2=37.5 yuan

A brought 37.5 yuan, and B brought 25 yuan.

15. Both Party A and Party B have deposited several yuan in the bank. It is known that one quarter of Party A's deposit is equal to one fifth of Party B's deposit, and it is known that Party B has more deposits in 24 yuan than Party A. How much is each?

Solution: let a have a yuan and b yuan.

1/4a= 1/5b

b-a=24

solve

a=96

b= 120