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Amateur math help?


Namiyoshi
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sorry if this doesn't belong here, haven't been on in a while, i need help on a math prob. ( i should know how to do it)

thanks (edit - i just noticed this is my 666th post :shock: :twisted: :D )

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(use the system of linear equations)

A family bought 100 acres of land and paid 10,000 pieces of gold. The price of good land is 300 pieces of gold per acre and the price of bad land is 500 pieces of gold for 7 acres. How many acres of good land and how many acres of bad land were puchased?

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I'm not going to solve this for you (it's homework after all), but I'm going to give you some help.

You're dealing with simultaneous equations. The two equations are:

X {acres of good land} + Y {acres of bad land} = 100 (1)

X * $300 + Y * $500/7 = $10 000 (2)

Express one variable in terms of the other:

X = 100 - Y (reworked 1)

Substitute the value into (2)

(100-Y) * 300 + Y * 500/7 = 10000 (3)

Now that you have a single term, solve the equation....

Good luck!

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I have a question. Dunno if it's "amateur" though. (metric system for the win, sorry :--D)

An ice cream cone's base diameter is 65mm and it's height is 150mm. How many decilitres of ice cream is in this cone?

I just want to check if I got it right or wrong. :lol:

Hidden Content:
[reason]Answer I got:[/reason] around 0,053 dl

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I have a question. Dunno if it's "amateur" though. (metric system for the win, sorry :--D)

An ice cream cone's base diameter is 65mm and it's height is 150mm. How many decilitres of ice cream is in this cone?

I just want to check if I got it right or wrong. :lol:

Hidden Content:
[reason]Answer I got:[/reason] around 0,053 dl

What kind of ice cream cone only has ice cream up to the brim of the cone? You have to account for the scoop on top too. :lol:

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An ice cream cone's base diameter is 65mm and it's height is 150mm. How many decilitres of ice cream is in this cone?

Volume of a cone = 1/3(area of base) x height

Area of the base (a circle) = pi x radius squared

So volume = 1/3(pi x R^2) x Height

= (pi x 32.5^2)/3 x 150

= 165915.362 cubic millimetres

You figure the conversion to decilitres!

Real answer: None - if that's my ice cream cone :lol:

Hint to original questions solution:

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