NMMRUS 116 Loesung

Zwanzig Bonbons

zurück zur Aufgabenstellung

var	Bonbon	Preis
g	Gummibärchen	4 cent
d	Drops	1/4 cent
s	Schokobärchen	1/2 Cent

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle g,d,s \in \mathbb{N}}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle g+d+s = 20}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 4\cdot g + {1 \over 4} d + {1 \over 2} s = 20}

Erste Gleichung mal 4 weniger zweiter Gleichung.

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (4-{1\over 4})d + (4 -{1\over 2})s = 60}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {15\over 4}d + {7\over 2}s = 60}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 15d+14s=120}
Die Faktoren werden in ihre Primfaktoren zerlegt um zu sehen ob man da noch 'was kürzen könnte...

$3\cdot 5d+2\cdot 7s=2^{4}\cdot 3\cdot 5$
Jetzt die Summe umgestalten, damit man die entsprechenden Faktoren auf beiden Seiten sehen kann.

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 2\cdot 7 s = 3\cdot 5 (2^4-d)}
Jetzt gibts links ein Produkt und rechts eines. Wegen der Primfakturen müssen die Faktoren gleich sein...

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle s=3\cdot 5 = 15}
<math>(2^4-d) = 2\cdot 7<math>