Answer: The number of small cookies sold = 75
Step-by-step explanation:
GIven: Yesterday, the store sold 7 large cookies for every 5 small cookies.
Let 7x be the number of cookies and 5x be the number of small cookies. (i)
They sold 30 more large cookies than small cookies.
i.e. [tex]7x-5x=30[/tex] (Using (i))
[tex]\Rightarrow\ 2x=30\\\\\Rightarrow\ x=\dfrac{30}{2}\\\\\Rightarrow\ x=15[/tex]
Thus, the number of small cookies sold = 5 (15)=75 (Using (i))
Hence, the number of small cookies sold = 75