The sum of a number and its reciprocal is 2 1/6. Find the number

let the number is

let the number is x

then according to quation

x + 1/x = 2 1/6 x² + 1 13

6

cross multipication 6x ^ 2 + 6 = 13x

6x ^ 2 - 13x + 6 = 0

6x ^ 2 - 9x - 4x + 6 = 0

3x * (2x - 3) - 2(2x - 3) = 0

(2x - 3)(3x - 2) = 0

2x - 3 = 0

x = 3/2

hope it helps

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: