Question

Amy wants to sell at most 25 cookies and at least 10 sprites

Answer 1

Answer:

$x\leq 25\\y\geq 10\\.50x + y\geq 30$

Step-by-step explanation:

It is given that,

Amy wants to sell at most 25 cookies ,

Let number of cookies be '$x$' , then $x$ should be less than or equal to 25

Which is represented by  $x\leq 25$ ,

Further,

Let number of sprites be '$y$', then '$y$' should be greater than or equal to  10

Which is represented by $y\geq 10$

Also,

Given,

she profits $.50 on every cookie

and $1.00 on every  sprite.

So total profit on selling cookies would be

= Profit on each cookie times the number of cookies

=$.50\times x$

=$.5x$

Similarly, total profit on selling sprites would be

=profit on each sprite times the number of sprites

=$1.00\times y$

=$y$

Now, combining these two should be greater than or equal to $30

representing this through an equation,

$.50x+y\geq 30$

Thus the sysytem of equations is given as:

$x\leq 25\\y\geq 10\\.50x + y\geq 30$