Smiley's Cookies makes the best chocolate chip cookies in town! Yesterday, the store sold 7 large cookies for every 5 small cookies. If Smiley's Cookies sold 30 more large cookies than small cookies yesterday, how many small cookies did they sell?

Respuesta :

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