Will get medal if I get the correct answer

Question

jakob · Answer

attachment

563blackghost · Answer

We write out two equations. We now that the dimes plus the quarters equal in total 50 coins.

$\huge\bf{x+y=50}$

563blackghost · Answer

@Jakob

jakob · Answer

I am here

563blackghost · Answer

We know that 10 cents and 25 cents with each their own amount will equal $10.25.

$\huge\bf{.10x + .25y = $10.25}$

563blackghost · Answer

We need to find how many dimes so we would simplify the first equation into an equation of quarters which will be y. So we subtract x from both sides to get...

$\huge\bf{y=50-x}$

563blackghost · Answer

We then plug this into your second equation...

$\huge\bf{.10x+.25(50-x)=10.25}$

Simplify to find x.

jakob · Answer

.35*50x=10.25 right?

563blackghost · Answer

Not quite.

$\huge\bf{.10x + (-0.25x) + 12.5=10.25}$

Add like terms...

$\huge\bf{-0.15x+12.5=10.25}$

jakob · Answer

WTF how....... I am so confused,......... I am sorry

563blackghost · Answer

We distribute `.25` into the paranthesis...

So we multiply `.25 by 50` and we multiply `.25 by -x`.

$\huge\bf{.25(50-x) \rightarrow -0.15x + 12.5}$

jakob · Answer

Alright *sighs

563blackghost · Answer

^.^ Distribution means basically mutilplying every number by the number on the outside...

$\huge\bf{.25(50-x)}$

$\huge\bf{.25 \times 50) = 12.5}$

$\huge\bf{.25 \times -x = -0.25x}$

$\huge\bf{.10x+(-0.25x)+12.5=10.25}$

We then add like terms...

$\huge\bf{.10x + (-0.25x) = -0.15x}$

$\huge\bf\color{purple}{-0.15x+12.5}$

jakob · Answer

so is that my answer

563blackghost · Answer

So we now have..

$\huge\bf\color{purple}{-0.15x+12.5=10.25}$

Now we need to get `-0.15x` to itself so we subtract 12.5 from each side...

$\huge\bf{-0.15x = 10.25-12.5}$

$\huge\bf{-0.15x=-2.25}$

Now we divide...

$\huge\bf{\frac{-0.15x}{-0.15}=\frac{-2.25}{-0.15}}$

What does that equal?

jakob · Answer

Hold on

jakob · Answer

15

563blackghost · Answer

Correct :)

So she has `15 dimes`.

jakob · Answer

thx help me some more if i havent tortoured you enough

563blackghost · Answer

I would love to help you more but I have to take my leave ;) Good luck with your work though.

563blackghost · Answer

Maybe @3mar or @Will.H can, those two are extraordinary helpers.

jakob · Answer

thank you can you medal me plz

3mar · Answer

Sorry, I was not here, @563blackghost !


@Jakob
If you need help, I will help you as much as I know and as I can.