sophiaa23
05.02.2020 •
Mathematics
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
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Ответ:
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.
Ответ:
I dont know
Step-by-step explanation: