The sum of a number and two times a smaller number is 62 .Three times the bigger number exceeds the smaller number by 116 . What is the biggest number and the smallest number??

42,10

Step-by-step explanation:

let the numbers be x and y and x>y

x+2y=62

3x-y=116

multiply  by 2

6x-2y=232

add the first

7x=294

x=42

from first

42+2y=62

2y=62-42=20

y=20/2=10

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.