Question

on monday, danny and ian started reading the same novel, and ian read four times as many pages as danny. on tuesday, ian did not read at all, but danny read 54 pages. by the end of tuesday, danny and ian were on the same page. how many pages did danny read on monday?
pages

Explanation:

Step1: Define variables

Let $x$ = pages Danny read on Monday. Ian read $4x$ pages on Monday.

Step2: Set equality for final pages

At end of Tuesday: Danny's total = $x + 54$, Ian's total = $4x$. These are equal.
$$x + 54 = 4x$$

Step3: Solve for x

Subtract $x$ from both sides:
$$54 = 3x$$
Divide both sides by 3:
$$x = \frac{54}{3} = 18$$

Answer:

18