We need 1 1/4 cups for each lasagna recipe and we need 1/2 cups for each pizza.
She will double her lasagna recipe (like she will make 2 of them) and make 5 pizzas.
Then, we can calculate how many cups we need as:
[tex]\begin{gathered} (1+\frac{1}{4})L+\frac{1}{2}P \\ (1+\frac{1}{4})\cdot2+\frac{1}{2}\cdot5 \\ \frac{5}{4}\cdot2+\frac{1}{2}\cdot5 \\ \frac{10}{4}+\frac{5}{2} \\ \frac{10+5\cdot2}{4} \\ \frac{10+10}{4} \\ \frac{20}{4} \\ 5 \end{gathered}[/tex]L: number of lasagna recipe, P: number of pizzas.
We need 5 cups of tomato paste.