A carpenter has several boards of equal length. He cuts 3/5 of each broads. After cutting the boards the carpenter notices that he has enough pieces left over to make up the same length as 4 of the original board. How many boards did the carpenter star with?

10

Step-by-step explanation:

Length of boards are the same :

Let number of boards = x

Fraction cut from each board = 3/5

Total fraction cut = 3/5 * x

Fraction left = 1 - 3/5 = 2/5

Total fraction left = 2/5 * x

Total pieces left = 2/5 * x = 4 times length of original board

Note ; original fraction = 1

Hence,

2/5 * x = 4 * 1

2x / 5 = 4

2x = 4 * 5

2x = 20

x = 20 / 2

x = 10

Number of boards = 10

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0

x is the total time in minutes for the free response

you are given number of questions as 15 - m and time per item as 8 minutes

to find x multiply the two givens together:

x = 8 * (15-m) = 8(15-m)