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Entre Juan, Pedro, María y Luis tienen 62 cartas. Pedro tiene un tercio de las cartas de Juan. María tiene 3 cartas menos que Juan y Luis tiene el doble de las cartas de Juan. ¿Cuántas cartas tiene Luis?

Respuesta :

Answer:

Luis has 30 cards

Step-by-step explanation:

To solve this problem, we need to setup a system of equations.

If we call the amount of cards Juan has "J", Pedro "P", Maria "M" and Luis "L", we have that:

J + P + M + L = 62

P = J/3

M = J - 3

L = 2J

Substituting P, M and L in the first equation, we have:

J + J/3 + J - 3 + 2J = 62

13J/3 = 62 + 3

13J = 65 * 3

J = 15 cards

The amount of cards Luis has is:

L = 2J = 2 * 15 = 30 cards

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