Respuesta :
So 25 cupcakes is 25x$3= $75 now she needs to sell 300-75= $225 worth of cakes... so 225/12= 18.75 or rounding up 19 cakes
Answer:
25
Step-by-step explanation:
Let x be the no. of cupcakes and y be the number of cakes
We are given that they only sell 25 cupcakes
So, equation becomes : [tex]x+y=25[/tex] ---A
Cost of 1 cupcake = $3
Cost of x cupcakes = 3x
Cost of 1 cake = $12
Cost of y cakes = 12y
We are given that Jane and Beth to make at least $300
So, [tex]3x+12y\geq 300[/tex]---B
Substitute the value of x from A in B
[tex]3(25-y)+12y\geq 300[/tex]
[tex]75-3y+12y\geq 300[/tex]
[tex]75+9y\geq 300[/tex]
[tex]9y\geq 300-75[/tex]
[tex]9y\geq 225[/tex]
[tex]y\geq \frac{225}{9}[/tex]
[tex]y\geq 25 [/tex]
Hence the minimum number of cakes they must sell if they only sell 25 cupcakes is 25
