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Scholieren.be • View topic - Opstellen van een vergelijking

Opstellen van een vergelijking

Alles over de vakken : wiskunde, biologie, scheikunde, natuurkunde, informatica

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Opstellen van een vergelijking

Postby anoniem on Tue 24 Jan, 2006 17:15

Dag iedereen,

Ik zit in het 3de jaar aso, we zitten nu bij het onderwerp "vraagstukken die leiden tot een 1ste graadsvergelijking met 1 onbekende".

Er is een vraagstuk, waar ik maar geen antwoord kan op vinden:

"Jan is 35 jaar. Hij heeft 3 kinderen. Kind 1 is 10 jaar, Kind 2 8 jaar, en kind 3 7 jaar. Hoeveel jaar geleden was Jan tweemaal zo oud als de leeftijd vd drie kinderen samen?"

Ik heb problemen bij het opstellen vd vergelijking. Ik weet niet wat ik als onbekende moet nemen en zo...

Kan iemand me helpen?[/u]
anoniem
 

Postby anoniem on Tue 24 Jan, 2006 17:18

Ik heb al gevonden door iedere mogelijkheid te proberen dat het 3 jaar is.
Maar ik weet niet hoe ik dat in een vergelijking kan "gieten".
anoniem
 

Postby WoLLe on Tue 24 Jan, 2006 19:21

De onbekende is het aantal jaar geleden dat Jan even oud was als het dubbele van zijn 3 kinderen samen.

Leeftijd van Jan nu - aantal jaren geleden = leeftijd van de 3 kinderen * 2
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Postby Z on Tue 24 Jan, 2006 19:55

Klopt niet Wolle...
Antwoord:
Vader = 35
Kinderen opgeteld = 25
x: aantal jaren terug in de tijd

35-x = (25-3x)*2
35-x = 50-6x
-x +6x = 50 -35
5x = 15
x = 3
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Postby Z on Wed 25 Jan, 2006 16:43

't IS GRAAG GEDAAN! :x :x :x :x
"Doris, let's play house. You'll be the door and I'll shut you!"
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Hartelijk dank

Postby anoniem on Sun 29 Jan, 2006 13:32

anoniem
 


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