a coat,shirt and tie cost $300. coat costs twice as much as the shirt. shirt cost $40 more than twice the cost of the tie. what are the cost of each item?

2 answers

300-40=260
Let x = tie cost, then shirt = 2x+40 and coat = 2(2x+40).

x + (2x+40) + 2(2x+40) = 300

Get rid of parentheses and combine like terms.

x + 2x + 40 + 4x + 80 = 300

7x = 300-120 = 180

Divide by 7.

x = 25.71

From there, calculate the shirt and coat.