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.

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40