SAT Question 34f8cd89: Percentages answer and explanation with Desmos solution

Choice C is correct. It's given that $37\%$ of the items in a box are green. Let $x$ represent the total number of items in the box. It follows that $\frac{37}{100}x$, or $0.37x$, items in the box are green. It's also given that of those, $37\%$ are also rectangular. Therefore, $\frac{37}{100}\left(0.37x\right)$, or $0.1369x$, items in the box are green rectangular items. It's also given that of the green rectangular items, $42\%$ are also metal. Therefore, $\frac{42}{100}\left(0.1369x\right)$, or $0.057498x$, items in the box are rectangular green metal items. The number of the items in the box that are not rectangular green metal items is the total number of items in the box minus the number of rectangular green metal items in the box. Therefore, the number of items in the box that are not rectangular green metal items is $x-0.057498x$, or $0.942502x$. The percentage of items in the box that are not rectangular green metal items is the percentage that $0.942502x$ is of $x$. If $p\%$ represents this percentage, the value of $p$ is $100\left(\frac{0.942502x}{x}\right)$, or $94.2502$. Of the given choices, $94.25\%$ is closest to the percentage of items in the box that are not rectangular green metal items.