solve and write remainders as fractions.

Question

16. The junior class is pricing class rings. They were told that the price of 10 karat gold is 80% that of 14 karat gold. If the price of a 10 karat gold ring is $165, what is the price of an identical 14 karat gold ring?

Answer 1

Let x be the price of a 14 karat gold ring.

We know that the price of a 10 karat gold ring is 80% that of a 14 karat gold ring, so:

$165 = 0.8x

To solve for x, we can start by dividing both sides by 0.8:

$206.25 = x

Therefore, the price of an identical 14 karat gold ring is $206.25.

To check our answer, we can verify that $165 is indeed 80% of $206.25:

$206.25 x 0.8 = $165