A "mathemagician" makes a magic with cards. He have green, yellow, blue and red cards, numbered from 1 to 13 for each color.
He mixes the cards and says to a child: "Without I see, select a card, calculate the double of the number of this card, add 3, multiply the result by 5, and:
Add 1 if the card is green;
Add 2 if the card is yellow;
Add 3 if the card is blue;
Add 4 if the card is red.
"Tell me the end result and I will tell you the number and color of the chosen card."
Answer the following questions:
A) Johnny chooses a red card with the number 3. What is the number that Johnny should to say to the Mathemagician?
B) Marinette said "Seventy-Six" to the mathemagician. What is the number and the color of the card that she chose?
C) After choose a card, Peter says: "Sixty-one" and the mathemagician says to he: "You made a mistake". Explain how the mathemagician know that.