If the value of 10 ounces of gold is d dollars and an ounce of gold is equivalent to s ounces of silver, what is the value, in dollars, of 3 ounces of silver.
(3 ozAg) * (1 ozAu)/(s oz Ag) * $d/(10 ozAu) = $(3d / 10s)
To find the value of 3 ounces of silver in dollars, we need to know the value of 10 ounces of gold in dollars and the conversion rate between gold and silver.
Let's break down the problem step by step:
1. We are given that the value of 10 ounces of gold is d dollars. So, the value of 1 ounce of gold is d/10 dollars.
2. We are also given that 1 ounce of gold is equivalent to s ounces of silver. This means that 1 ounce of gold has the same value as s ounces of silver.
3. To find the value of 3 ounces of silver in dollars, we need to calculate how much 3 ounces of silver is worth in terms of gold. Since 1 ounce of gold is equivalent to s ounces of silver, 3 ounces of silver would be equal to (3/s) ounces of gold.
4. Now, we can determine the value of 3 ounces of silver in dollars by multiplying the value of 1 ounce of gold by (3/s):
Value of 3 ounces of silver = (d/10) * (3/s) = 3d / (10s)
Therefore, the value of 3 ounces of silver in dollars is 3d / (10s).