To find the weight of gold in a 22 karat gold object, multiply the objects weight by 0.917. to find the weight of a 18 karat gold object, multiply the objects weight by 0.583. a 22 karat gold statue both weigh 73.5 ounces. which one contains more gold? how much more gold does it contain?

We are given:

The weight of gold in a 22 karat gold object = 0.917 times objects weight.

The weight of gold in a 18 karat gold object = 0.583 times objects weight.

We need to find the weight of gold in 73.5 ounces of statue for 22 karat and for 18 karat.

For 73.5 ounces of statue 22 karat gold = 0.917 × 73.5 = 67.3995 ounces gold.

For 73.5 ounces of statue 18 karat gold = 0.583 ×73.5 = 42.8505 ounces gold.

67.3995 -  42.8505 = 24.549 ounces of gold.

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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