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:
![\begin{gathered} (1+(1)/(4))L+(1)/(2)P \\ (1+(1)/(4))\cdot2+(1)/(2)\cdot5 \\ (5)/(4)\cdot2+(1)/(2)\cdot5 \\ (10)/(4)+(5)/(2) \\ (10+5\cdot2)/(4) \\ (10+10)/(4) \\ (20)/(4) \\ 5 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/c0bof0nlgwx0mbc3u1wyn3w575gq46gnfn.png)
L: number of lasagna recipe, P: number of pizzas.
We need 5 cups of tomato paste.