A scale on a map shows that 2 inches = 25 miles.

How many miles are represented by 1/4 inch on the map?

2 inches : 25 miles

1/4 inches : X miles

2 divided by 1/4 = 8, so

8X = 25

25/8 = X

3.125 = X

Therefore, 1/4 inches represents 3.125 miles

4 1/8 miles or 3.125 miles

Step-by-step explanation:

From the question

2 inches = 25miles

1/4 inch = x miles

Cross multiply

We have

2inches x xmiles = 1/4 x 25

2x = 25/4

Divide both sides by 2

2x/2 = 25/4 /2

x = 25/4 x 1/2

x = 25/8

x = 4 1/8 miles

Or 3.125 miles

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:

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x