Question

Seven students cut 5 3/4 inches of thread from a spool for a school project. What number represents the change in the amount of the thread on the spool?

A.) -40 1/4
B.) -35 3/4
C.) -29 3/4
D.) -26 1/4

Answer 1

Answer:

$\implies \text{Required Number = }-40\tfrac{1}{4}$

Step-by-step explanation:

$\text{Part of the thread which is being cut from a spool = }5\tfrac{3}{4}\\\\=\frac{23}{4}$

Number of students in the school project = 7

So, total part which is cut from the thread on the spool = Number of students × Part of the thread cut by one student

$\text{Total part = }7\times \frac{23}{4}\\\\=\frac{161}{4}\\\\=40\tfrac{1}{4}$

But, we are asked to tell a number which represents the change in the amount of the thread on the spool.

⇒ Required Number = Inverse of the total part which is cut

$\implies \text{Required Number = }-40\tfrac{1}{4}$