Overlapping Problems( Week 47 Practice)
1. The drawings are hanged in a string for an art exhibition. Each drawing needs to be clipped at two sides. A clip can be shared by the two adjacent drawings as shown in the figure below.
At most how many drawings can be clipped to the string with 11 clips? 2. 3 pieces of lumber are connected to form a long piece. Each connection needs 2 nails. How many nails are needed in total? 3. There are 16 drawings to be hanged in a string for an art exhibition. Each drawing needs to be clipped at two sides. A clip can be shared by the two adjacent drawings as shown in the figure below.
At least how many clips are needed to hang the drawings? 4. There are 4 metal strips to be connected into a long strip. Each metal strip is 8 feet long and the length of each overlapping area is 2 feet as shown in the figure below.
What is the length of the long strip (in feet)? 5. The students in a class were asked to answer two Math questions. 14 of them answered the first question correctly and 16 answered correctly for the second question. 12 of them answered both questions correctly. At least how many students were in the class?