Andy and Bruce had some money. Andy had 50% more money than Bruce. After Andy gave Bruce $77, Bruce had 25% more money than Andy.

(a) How much money did they have in total?

(b) How much money must Bruce then give to Andy so that Andy wouldl have 50% more money than Bruce?

Guest Jun 11, 2022

#1**+1 **

(a) According to the information,

x = 1.5y (1)

y + 77 = 1.25 (x - 77) (2)

x = 297, y = 198

x + y = 297 + 198 = $495

They have $495 in total.

(b) Let the money that Bruce then give to Andy be a.

After Andy gave Bruce $77, Andy had 297 - 77 = $220

Bruce had 198 + 77 = $275

220 + a = 1.5 (275 - a)

a = 77

Bruce must give Andy $77 so that Andy would have 50%

more money than Bruce

Guest Jun 11, 2022

#2**+1 **

B = what Bruce had to start with

1.5 B = what Andy had to start with

And we know that

(1.5B - 77) *1.25 = B + 77 simplify

1.875B - 96.25 = B + 77

1.875B - B = 77 + 96.25

.875B = 173.25

B = 173.25 / . 875 = $198 = what Bruce started wih

1.5 B = $297 = what Andy started with

a) They had 198 + 297 = $495 in total

b) If Bruce returns the $77 to Andy....the original relationship still holds....Andy has 50% more money than Bruce

CPhill Jun 11, 2022