# math

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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?

• math -

300-40=260

• math -

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.

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