Question

Please help me with this ixl answer.Please answer it correctly

Answer 1

Let's call the number of blue and black pens, respectively, $b$ and $k$. We know that there are 29 pens in total, and no other colors. This means that

$b+k = 29$

i.e. the number of blue and black pens, together, must add up to 29.

Now, we also know that there are 3 more blue than black, which in other words means that the number of blue exceeds the number of black by 3:

$b = k+3$

We can use this expression to substitute $b$ in the first equation:

$b + k = (k+3) + k = 2k+3 = 29 \iff 2k = 26 iff k = 13$

So, there are 13 black pens. Since the blue are three more than the black, Suzie has 16 blue pens.

Answer 2

Hello!

Let's put this a system of equations, with y being the blue pens and x being the black.

y=x+3

x+y=29

Let's plug in our value for y into the second equation and solve for x.

x+x+3=29

2x+3=29

Let's subtract 3 from both sides.

2x=26

We divide both sides by 2

x=13

Now we add 3 to find the blue pens.

y=16

Therefore, Suzie has 16 blue pens.

I hope this helps!