Question

ryan is seeling cookies to raise money for charity. he is selling chocolate chip cookies for $10 a package and sugar cookies for $4 a package. he sold a total of 205 packages and raised a total of $1084. find the number of packages of each type of cookie he sold.​

Answer 1

The number of packages of chocolate chip cookies sold was 44 and the number of packages of sugar cookies sold 161

Explanation:

Let

x ----> the number of packages of chocolate chip cookies sold

y ----> the number of packages of sugar cookies sold

we know that

`10x+4y=1,084` -----> equation A

`x+y=205` -----> equation B

Solve the system of equations by graphing

The solution is the intersection point both graphs

using a graphing tool

The solution is the point (44,161)

see the attached figure

therefore

The number of packages of chocolate chip cookies sold was 44 and the number of packages of sugar cookies sold 161