You can get 13 pieces out of the 20 feet. But there is 1/3 of a 1.5 foot piece. 1/3 of 1.5 is .5 feet or 6 inches.
My daughter is in 7th grade and is about to take her 7th grade NC EOG test next week. I found a sample test and printed it out along with the answers. Some of the questions are stumping me (and her). This is one of them.
A 20-foot piece of rope will be cut into as many 1 1/2 foot sections as possible. How much rope will be left over?
A) 6 inches
B) 6 2/3 inches
C) 10 inches
D) 13 1/3 inches
I divide 20 by 1 1/2, and get 13 1/3, so what's left over is 6 2/3. The answer sheet says that the answer is A) 6 inches. How are they getting this?
A 20-foot rope will be cut into as many 1 1/2 foot sections as possible.
How much rope will be left over?
A) 6 inches. . B) 6 2/3 inches. . C) 10 inches. . D) 13 1/3 inches
I divide 20 by 1 1/2, and get 13 1/3, so what's left over is 6 2/3. . ??
. . Brrr . . . that's scary!
So, if you had a 100-foot rope cut into 4-foot pieces, you'd say: .
. . By your reasoning, there would be 75 feet left over ?
you could use a sketch like the one attached to guide.
The blue arrows are all 1.5 inches long.
As you add them up, the length goes from 1.5 to 3 to 4.5 to 6 to 7.5 to 9 to 10.5
to 12 to 13.5 to 15 to 16.5 to 18 to 19.5 leaving 0.5 of a foot remaining.
Or, you could take 2 parts together and find out how many 3 foot pieces lie along the rope.
3(6)=18, so there is 2 feet left, in which lies a 1.5 piece and 6 inches.