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#1 2005-10-11 04:43:42

Person
Guest

More Equations!

How do you work this out?

Three numbers x, y and z have a sum of 1500

x is 30 more than y

y is 3 times a s big as z

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And also:

Millie has 40 coloured shapes.

25 are circles and the rest are squares

23 of the shapes are blue and the rest are green

What is the least number of blue circles she can have?

What is the least number of green circles she can have?

Thanks for helping me!

#2 2005-10-11 16:08:34

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,954

Re: More Equations!

x = y + 30
y = 3z, z=y/3
Therefore, x + y + z = y + 30 + y + y/3 which is equal to 1500.
7y/3 = 1500 - 30 = 1470
y = 1470 x 3/7 = 630
y=630, x=660, z=210.

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Millie has 40 coloured shapes.

25 are circles and the rest are squares

23 of the shapes are blue and the rest are green

Therefore, 25 are circles and 15 are squares.

23 of the shapes are blue, therefore 17 are green.

The least number of blue circles is 8 and the least number of green circles is 2.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#3 2005-10-12 04:22:38

Person
Guest

Re: More Equations!

How did you work out the second question? I just can't get it round m head?

#4 2016-05-23 19:47:54

Monox D. I-Fly
Member
From: Indonesia
Registered: 2015-12-02
Posts: 2,000

Re: More Equations!

"The least number of blue circles is 8" was obtained by assuming that all green shapes are circles, thus 25 - 17 = 8.
Likewise, "the least number of green circles is 2" was obtained by assuming that all squares are green, thus, 17 - 15 = 2.


Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

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