SAT Question 8c5dbd3e: Percentages answer and explanation with Desmos solution

25$.It’sgiventhatthenumber$w$is$110 %$greaterthanthenumber$z$.Itfollowsthat$w = \left( 1 + \frac{110}{100} \right) z$,or$w = 2.1 z$.It’salsogiventhatthenumber$z$is$55 %$lessthan＄50$. It follows that $z=\left(1-\frac{55}{100}\right)\left(50\right)$, or $z=0.45\left(50\right)$, which yields $z=22.5$. Substituting ＄22.5$for$z$intheequation$w = 2.1 z$yields$w = 2.1 \left( 22.5 \right)$,whichisequivalentto$w = 47.25$.Therefore,thevalueof$w$is$47.25$. Note that 189/4 and 47.25 are examples of ways to enter a correct answer.