Coffee, tea, and pastries are sold at a coffe shop. last week, 2/5 of the coffee shop's profits were from sales and 1/3 of ots profits were from tea sales. the rest of its profits were from pastrie sales. what fraction of the cogfee shop's total profits last week were from pastry sales?
a: 1/15
b: 2/15
c: 4/15
d: 11/15

C: ⁴/₁₅  

Step-by-step explanation:

Let

C = fraction of profit from coffee sales

T = fraction of profit from tea sales

P = fraction of profit from pastry sales

C + T + P = 1

Subtract C + T from each side

P = 1 - C - T

  =  1 - ⅖ - ⅓

Give all terms the same denominator

Lowest common multiple of 3 and 5 is 15.

P = ¹⁵/₁₅ - ⁶/₁₅  - ⁵/₁₅

Combine the numerators

15 - 6 - 4 = 4

P = ⁴/₁₅

Pastry sales made ⁴/₁₅ of the total profit.

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step-by-step explanation: