Secure l https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkid Marist .

Question

Secure l https://www.mathxl.com/Student/PlayerHomework.aspx?homeworkid Marist . Excursions . Classical-Fall 2017-110L 112 Homework: Section 3.1 Score: 0 of 1 pt X) 3.1.9 6 of 9 (6 complete) HW Scor Angelina and Brad jointly buy the gourmet chocolate-strawberry cake shown in the figure to the right The price of this fancy cake is $60. Suppose that Angelin values strawberry cake four times as much as she values chocolate cake. Complete parts (a) through (c) below C(al Find the dollar value to Angelina of the strawberry wedge shown in figure to the right. 45 Round to the nearest cent as needed) 2

Explanation / Answer

Total angle of the cake = 360 degrees.

Angle of each piece = 360 / 6 = 60 degrees.

Price of the cake = $60.

Let x be the cost of strawberry piece and y be the cost of chocolate piece.

=> 3x + 3y = 60

x = 4y

=> 12y + 3y = 60

=> 15y = 60

=> y = $4

x = 4y = $16.

Price of a 45 degree wedge = 45/60 * 16

= $12.

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