SAT Question 25faa756: Percentages answer and explanation with Desmos solution

88$.It’sgiventhatthenumber$a$is$60 %$greaterthanthepositivenumber$b$.Therefore,$a = \left( 1 + \frac{60}{100} \right) b$,whichisequivalentto$a = \left( 1 + 0.60 \right) b$,or$a = 1.60 b$.It’salsogiventhatthenumber$c$is$45 %$lessthan$a$.Therefore,$c = \left( 1 - \frac{45}{100} \right) a$,whichisequivalentto$c = \left( 1 - 0.45 \right) a$,or$c = 0.55 a$.Since$a = 1.60 b$,substituting＄1.60b$ for $a$ in the equation $c=0.55a$ yields $c=0.55\left(1.60b\right)$, or $c=0.88b$. Thus, the number $c$ is $0.88$ times the number $b$. Note that 22/25, .88, .880, and 0.88 are examples of ways to enter a correct answer.