Question

Two punches are made from steel bar stock 9 7/16 inches long. If one punch is 4 1/64 inches long and the other is 4 3/32 inches long, how many inches of stock are wasted?
a. 1 1/16 inches
b. 1 5/16 inches
c. 1 15/64 inches
d. 1 21/64 inches

Answer 1

Answer:

d. 1 21/64 inches

Step-by-step explanation:

Add the lengths of the two punches.

4 1/64 + 4 3/32 = 4 1/64 + 4 6/64 = 8 7/64

Subtract the sum from the length of the bar stock.

9 7/16 - 8 7/64 = 9 28/64 - 8 7/64 = 1 21/64

Answer: d. 1 21/64 inches

Answer 2

Answer:

Option D

Step-by-step explanation:

Given the following question:

$9\frac{7}{16} -4\frac{1}{64} -4\frac{3}{32}$

In order to find the answer, we simply subtract 4 1/64 and 4 3/32 away from 9 7/16 to see how much of the steel bar was wasted.

$9\frac{7}{16} -4\frac{1}{64}$
$9-4=5$
$\frac{7}{16} -\frac{1}{64}$
$\frac{7}{16} \times4=\frac{28}{64}$
$28-1=27$
$=5\frac{27}{64}$

Now subtract 4 3/32:

$5\frac{27}{64} -4\frac{3}{32}$
$5-4=1$
$\frac{27}{64} -\frac{3}{32}$
$\frac{3}{32}\times2=\frac{6}{64}$
$27-6=21$
$=1\frac{21}{64}$

That means about "1 21/64" or option D of the steel beam was wasted.

Hope this helps.