Question

Last month a bakery sold a total of 3,500 cookies and cupcakes. They sold cookies for $0.75 each and cupcakes for $2 each. If the total sales last month was $4,500, how many cookies and how many cupcakes did the bakery sell?

Answer 1

Number of cookies sold is 2000 and number of cupcakes sold is 1500

Explanation:

Let number of cookies be
`x`

and number of cupcakes be
`y` so

`x+y=3500`

Cost of one cookie is $0.75

Cost of one cupcake is $2

`0.75x+2y=4500`

`x+y=3500`
`* 2`

`2x+2y=7000`

`-1.25x=-2500\\\Rightarrow x=(2500)/(1.25)\\\Rightarrow x=2000`

`y=3500-x=3500-2000\\\Rightarrow y=1500`

Number of cookies sold is 2000 and number of cupcakes sold is 1500.