Dalia has 30 more stickers than Huda at first. Dalia gave 40% of her stickers to Huda. Then, Huda gave 50% of her stickers to Dalia. In the end, Dalia has 48 more stickers than Huda. How many stickers did Dalia have at first?

1. Define variables for the initial number of stickers

Let Dalia's initial number of stickers be $D$ and Huda's be $H$.

2. Express the number of stickers each has after Dalia gives 40% to Huda

Dalia gives $40\%$ of her stickers to Huda.
Dalia has $100\% - 40\% = 60\%$ of her stickers left, which is $0.6D$.
Huda receives $0.4D$, so Huda now has $H + 0.4D$.

3. Express the number of stickers each has after Huda gives 50% to Dalia

Huda gives $50\%$ (half) of her current stickers to Dalia.
Huda gives $0.5(H + 0.4D) = 0.5H + 0.2D$.
Huda is left with $0.5H + 0.2D$.
Dalia receives this amount, so Dalia now has $0.6D + 0.5H + 0.2D = 0.8D + 0.5H$.

4. Use the final difference to form an equation and solve for Dalia's initial stickers

In the end, Dalia has 48 more stickers than Huda.
$(0.8D + 0.5H) - (0.5H + 0.2D) = 48$
$0.6D = 48$
$D = \frac{48}{0.6} = 80$
(Note: The initial difference of 30 is extra information not needed to find Dalia's initial amount.)