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aniked [119]
3 years ago
13

Joseph, después de hacer compras, piensa de la siguiente forma: "Gasté los 3/5 de lo que no gasté y aún me quedan S/. 60 más de

lo que gasté". ¿Cuántos soles tenía Joseph?
Mathematics
1 answer:
earnstyle [38]3 years ago
7 0

Answer:

Joseph tenía 240 soles

Step-by-step explanation:

Tenemos lo siguiente

Cantidad total = Cantidad gastada + Cantidad restante.

Sabemos que Cantidad gastada = 3/5 Cantidad restante y que Cantidad restante = Cantidad gastada + 60.

Sea x la cantidad gastada e y la cantidad restante. Tenemos las ecuaciones

x = \frac{3}{5}y, y = x+60

Reemplazando la segunda en la primera, tenemos que

x = \frac{3}{5}(x+60)= \frac{3}{5}x + 36 (aquí simplemente distribuímos la multiplicación.

Restando 3/5 x a ambos lados, tenemos que

x-\frac{3}{5}x = \frac{2}{5}x = 36

Multiplicando por 5 y dividiendo por dos ambos lados, tenemos que

x=\frac{5\cdot 36}{2} = 90

Es decir, Joseph gastó 90 soles. Entonces y = 90+60 = 150 soles.

Es decir, en total, Joseph tenía 150+90= 240 soles.

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HELP WITH PROBABILITY PWEASEEE <br> (4 questions)
Aliun [14]

a. {1,2,3,4,5,6}

b. {A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z}

c. {HH,HT,TH,TT}

d. {1T,2T,3T,4T,5T,6T,1H,2H,3H,4H,5H,6H}

Step-by-step explanation:

We will write the sample space of all options one by one.

a. Rolling a 6 sided die

As the die has six sides numbered from 1 to six then the sample space will be:

S1 =  {1,2,3,4,5,6}

b. Guessing the first initial of a student's name:

As the English language has 26 alphabets, the first initial can be any alphabet so the sample space will be all letters:

S2 =  {A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z}

c. Tossing two coins

As two coins are tossed, the outcomes will be a combination of two outcomes

S3= {HH,HT,TH,TT}

d. Rolling a 6 sided die and tossing a coin

As the die is rolled and then a coin is tossed. The die's coin will either combine with heads or tails

So,

S4 = {1T,2T,3T,4T,5T,6T,1H,2H,3H,4H,5H,6H}

Hence,

a. {1,2,3,4,5,6}

b. {A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z}

c. {HH,HT,TH,TT}

d. {1T,2T,3T,4T,5T,6T,1H,2H,3H,4H,5H,6H}

Keywords: Sample Space, Probability

Learn more about sample space at:

  • brainly.com/question/11007026
  • brainly.com/question/11207748

#LearnwithBrainly

8 0
3 years ago
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