Luis and Roberto are donating some of their baseball cards to the library. Luis started with 50 cards and gave away X number of them. Roberto started with 80 cards and gave away 3 times as many as Luis had given away. If they both now have the same number of baseball cards, how many baseball cards did Roberto give away? A - 15
B - 35
C - 45
D - 65

the answer is c -45

explanation

calculator and a brain

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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