GoldenLeaf

Good to be back! Albeit only on rare occasion, since I'm not in school anymore (had to drop out due to finances). And I haven't taken a maths course (to completion) since... gosh, 2016? But I'll still be here to keep my mind sharp, and to stay learned!

My math is very rusty, admittedly, so perhaps I shouldn't pick back up the keyboard to help, but I still will regardless. If I recall, this is going to be a point-slope formula problem, followed by a slope-intercept formula problem.

Point slope formula: $y − y_{1} = m(x − x_{1})$

Substitute the values accordingly: Treat $(3, 17)$ as $y$ and $(6, 32)$ as $y_{1}$.

Post-substitution: $17 - 32 = m(3 - 6)$

From there, simplify as needed.

Step 1: $17 - 32 = m(3 - 6)$

Step 2: $-15 = m(-3)$

Step 3: $\frac{-15}{-3} = \frac{m(-3)}{-3}$

Step 4: $5 = m$

From there, take either point and, knowing the value of $y$, $m$, and $x$, plug in those numbers to the slope intercept formula to find $b$ and make sure they match.

Slope intercept formula: $y=mx+b$

Substitutions: $17=5(3)+b$ and $32=5(6)+b$

Calculations 1: $17=15+b$ and $32=30+b$

Calculations 2: $(17-15)=(15-15)+b$ and $(32-30)=(30-30)+b$

Solution(s): $2=b$ for both equations.

The likely solution is that your answer wants to be done up in slope-intercept form, in which case you would plug in your values for $m$ and $b$, which would yield a final answer of $y=5x+2$. Hope this helped with understanding how you reached such an answer!

Surprise! I just poked my head in here happenstance -- I've been out of maths (and college) for a while, but to some extent I can still do some of the more basic problems.

There's a way to simply brute force this, so it's not pretty, but it should be the right answer.

If each set of integers are three digits, and subtracting X from Y gives 333, we can assume that subtracting the single-digits in X (_1/2/3) from Y (_1/2/3) should yield 3. There's only three ways to get 3 using the numbers 1 through 6 with solely subtraction: 6-3, 5-2, and 4-1. We can therefore assume X (_1/2/3) = 4, 5, and 6; and Y (_1/2/3) = 1, 2, and 3.

It's a simple matter of lining up the ones, tens, and hundreds columns so that each column will spit out a 3. You have three columns, and three problem sets to apply to each column, which should result in nine different values for X/Y to go together to fulfill X - Y = 333.

I won't solve the whole thing for you, as I'm not sure whether the problem asks for fully simplified answers or just the problem sets, but I'll at least give you that little stepping stone.

Happy birthday, person I do not know!

:D

Oh, and @Melody there's a general gold standard that is used through the world, and the price of it is tracked.

And since I apparently can't edit my older post, all currency values are in US Dollars (USD). If you wanted to find the value in other currencies, simply convert the final value ($878,144.38 USD) from USD into whatever your preferred currency is.

Consider it like this:

You have a square, and all sides are 10 units long. The area, therefore, would be 10*10 = 100 square units.

You take the sides of the square and increase them by 10% (or 110% of the original). Take 10% of 10 (=1) and then add it back into the original. You now have a square with all sides 11 units long. This square now has an area of 11*11 = 121 square units.

At this point, you can see that the square increases from the original 21 units. That is another 21% added on, and that is your final answer: A 21% increase.

If you want total coins, then:

146 + 812 = 958 coins

However, if you want total value...

If we consider all gold and silver coins to be roughly an ounce, then we have 146 ounces of silver and 812 ounces of gold. By today's standards, gold is worth $1078.90g (g = ounces of gold) and silver is worth $14.23s (s = ounces of silver). Simply plug in the numbers and then add it all up.

Gold: $1078.90*812 = $876066.80

Silver: $14.23*146 = $2077.58

$876066.80 + $2077.58 = $878144.38

Zoe has $878,144.38 in precious metals. In other words, she's freaking loaded and can retire happily as long as she invests wisely in the correct companies. Poor usage of her money will lead to her being penniless in a matter of weeks and she will be homeless and lamenting her fate.

EDIT: I've just realized this is my 250th answer. Oh joy.

Correct. If somebody feels like explaining why, go ahead.

3% of 162 is the same as saying 0.03*162, as 3% is 3 hundreths of something (or 3/100) and when we work that out...

0.03*162 = 4.86