I am trying to help my child with this problem and I have no idea what to do to solve this word problem. Paul used 1 1/4 gallons of paint to cover 3/8 of the walls in his living room. How many gallons of paint will Paul need to paint all the walls in his living room?

since his paint covered 3/8 of the wall, he needed 8/3 as much to do the whole job.

5/4 * 8/3 = 40/12 = 3 1/3 gals

If the perimeter of a parallelogram is 140 m, the distance between a pair of opposite sides is 7 meters and its area is 210 sq m, find the length of two adjacent sides of

To solve this word problem, we need to find out how many gallons of paint Paul will need to paint all the walls in his living room.

We know that Paul used 1 1/4 gallons of paint to cover 3/8 of the walls.

To find out how many gallons of paint Paul will need for the entire room, we need to set up a proportion.

The proportion will be:

(Number of gallons used)/(Fraction of walls covered) = (Number of gallons needed)/(Fraction of walls to be covered)

Let's set up the proportion using the information given in the problem:

1 1/4 gallons / 3/8 = x gallons / 1 (where x is the number of gallons needed for the entire room)

To solve the proportion, we can cross-multiply:

(1 1/4 gallons) * (1) = (3/8) * x gallons

First, let's convert the mixed number (1 1/4) to an improper fraction:

1 1/4 = (4/4 + 1/4) = 5/4

Now we can rewrite the proportion:

(5/4 gallons) * (1) = (3/8) * x gallons

To simplify the equation, we multiply:
5/4 = 3/8 * x

To solve for x, we can cross-multiply again:

(5/4) * (8/3) = x

Now we multiply the numerators and the denominators:

(5 * 8) / (4 * 3) = x

40/12 = x

To simplify the fraction, we can divide the numerator and the denominator by their greatest common divisor:

The greatest common divisor of 40 and 12 is 4, so we can divide both by 4:

40/4 = 12/4 = 10/3 = x

So, Paul will need 10/3 gallons of paint to paint all the walls in his living room.