Dairon needs 20 pieces of string 3/8 inch in length. he cut a 4 7/8 inch piece of string into pieces that are 3/8 of an inch long each. how many more pieces of string does he need?

From the information given, Dairon already had a string that is  4 7/8 inches long.

We first write or  simplify  3/8 and 4 7/8 in their decimal fraction forms.

3/8 is written as 0.375 and 4 7/8 is written as 4.875

We can now find out how many pieces he cut from the string (that was 4 7/8 inches), so:

4.875 ÷ 0.375 = 13

So he got 13 pieces  of string. He wants 20 pieces, so;

 20 -13 = 7

Therefore he will need 7 more strings .

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.