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Kobotan [32]
3 years ago
15

Un niño compro globos, gasto 1/5 y luego 2/3 de su ahorro ¿que parte gasto y que parte le quedo?​

Geography
1 answer:
zlopas [31]3 years ago
4 0

Answer:

El niño gastó \frac{8}{15} y le quedó \frac{7}{15} del ahorro.

Explanation:

Sea m la cantidad total inicial de su ahorro. A continuación, transformamos cada oración en una expresión matemática:

(i) <em>Un niño gasta </em>\frac{1}{5}<em> de su ahorro inicial</em>:

p_{1} = \frac{1}{5}\cdot m (1)

(ii) <em>Luego, gasta </em>\frac{2}{3}<em> de su ahorro actual</em>:

p_{2} = \frac{2}{3}\cdot (m-p_{1}) (2)

p_{2} = \frac{2}{3}\cdot \left(m-\frac{1}{5}\cdot m)

p_{2} = \frac{2}{3}\cdot \frac{4}{5}\cdot m

p_{2} = \frac{8}{15}\cdot m

Ahora, la porción remanente del ahorro es:

p_{3} = m - p_{2}

p_{3} = \frac{7}{15}\cdot m

El niño gastó \frac{8}{15} y le quedó \frac{7}{15} del ahorro.

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