<human>:  Princess Daphne bought three necklaces and a set of earrings for a total of $240,000. If all three necklaces were equal in price, and the earrings were three times as expensive as any one necklace, then how expensive was the cost of a single necklace?
<bot>: Define a variable ** Let "x" be the price of a single necklace.
How much did the earrings cost? ** Thus, the cost of the earrings would be 3x.
Write an equation ** And since all items totaled $240,000, then x+x+x+3x = $240,000
Simplify ** Therefore, this simplifies to 6x=240,000
How much did a single necklace cost? ** And, solving for x we see that the price of a single necklace is x = $<<40000=40000>>40,000
#### 40,000