38. In Evan's white gold wedding ring, the ratio of nickel to gold is 3 to 13 . If the ring contains 4.16 oz of gold, how much nickel does it contain?

To find the amount of nickel in Evan's white gold wedding ring, we can use the given ratio of nickel to gold, which is 3:13. Given: - Ratio of nickel to gold: 3:13 - Amount of gold in the ring: 4.16 oz We can set up a proportion to find the amount of nickel in the ring: \[ \frac{3}{13} = \frac{x}{4.16} \] Where \( x \) is the amount of nickel in the ring. Now, we can solve for \( x \) to find the amount of nickel in the ring. Solve the equation by following steps: - step0: Solve for \(x\): \(\frac{3}{13}=\frac{x}{4.16}\) - step1: Divide the terms: \(\frac{3}{13}=\frac{25x}{104}\) - step2: Swap the sides: \(\frac{25x}{104}=\frac{3}{13}\) - step3: Multiply both sides of the equation by \(104:\) \(\frac{25x}{104}\times 104=\frac{3}{13}\times 104\) - step4: Multiply the terms: \(25x=\frac{3\times 104}{13}\) - step5: Divide the terms: \(25x=24\) - step6: Divide both sides: \(\frac{25x}{25}=\frac{24}{25}\) - step7: Divide the numbers: \(x=\frac{24}{25}\) The amount of nickel in Evan's white gold wedding ring is 0.96 oz.