Hello, Obsidantion!

Two bank robbers, Ron and Jon, have managed to steal 42 crates

of gold and silver bars from a bank, 392 of the bars they stole being gold.

Among the 42 crates, there are two distinctive types.

One type of crate contains 11 bars and is worth $140k,

the other contains 20 bars and is worth $280k.

Jon was elected to calculate how the takings would be divided between them,

and decided that he would take all of the crates that contained 20 bars

and leave the rest to Ron.

Ron is unhappy that he's left the crates worth half as much Jon's.

Given that each gold bar is worth $15k and each silver bar is worth $10k,

work out how much Jon has given himself more than he has Ron?

Small crates: 11 bars worth $140k

Let = number of gold bars.

Let = number of silver bars.

gold bars at $15k each are worth: . dollars.

silver bars at $10k each are worth: . dollars.

Total value is $140k: .

Solve for

Large crates: 20 bars worth $280k

Let = number of gold bars.

Let = number of silver bars.

gold bars at $15k each are worth: . dollars.

silver bars at $10k each are worth: . dollars.

Total value is $280k: .

Solve for

Let = number of small crates.

Then = number of large crates.

small crates with 6 gold bars each: . golds bars.

large crates with 16 gold bars each: . gold bars.

Total gold bars is 392: .

Solve for

Hence: .

Jon took the 14 large crates worth $280k each.

. . His share is: .

Ron took the 28 small creates worth $140k each.

. . His share is: .

They shared the loot equally!