The total cost of a jacket and a pair of shoes was $99.15. if the price of the jacket was $5.81 less than the pair of shoes, what was the price of the jacket? express your answer as a simplified fraction or a decimal rounded to two places.
Let x = price of shoes Then price of jacket would be x - 5.81 Combining the two would give you x + x - 5.81 = 99.15 combining like terms simplifies to 2x - 5.81 = 99.15; now adding 5.81 to both sides of the equal sign leaves 2x = 104.96 and finally, dividing both sides by 2, gives x = $52.48; which is the cost of the shoes. Recall, the cost of the jacket is 5.81 less than the cost of the shoes. so, COST OF THE JACKET is 52.48 - 5.81 = $46.67