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

Answer:

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

Step-by-step 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

$0.75x+2y=4500$

$x+y=3500$ $\times 2$

$2x+2y=7000$

$-1.25x=-2500\\\Rightarrow x=\dfrac{2500}{1.25}\\\Rightarrow x=2000$

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

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