Juan plans to build a bookcase to store his paperback books, DVDs, and CDs. He has lumber that he will use for the sides and back of the bookcase. The bookcase will have five shelves, and each shelf will be 2 1/2 feet.
DVD cases are 9 16 inch wide.
a. If Juan has 60 DVDs, how many of them will fit on one shelf?
b. How wide would a DVD case have to be in order for 60 of them to fit on one shelf? Give the answer in feet.
pls help me im a vsco girl tryin to do her math homework on springboard and i oop sksksksksksk
That's old as hell, it's 2020, come on.
Enough already with Juan and his bookcase.
Besides this one, I count 8 others along the same line in the Related Questions below.
Surely there is something there you might like
i dont really get it so help ussssssssss
Ahhaha
a. To determine how many DVDs will fit on one shelf, we need to find the total width of the DVDs and divide it by the width of one shelf.
1. Convert the width of DVD case from inches to feet:
- 9/16 inch = 9/16 * (1/12) feet = 0.09375 feet (approximately 0.094 feet)
2. Calculate the total width of all DVDs:
- Total width = Width of one DVD case * Number of DVDs
- Total width = 0.094 feet * 60 DVDs = 5.64 feet (approximately 5.64 feet)
3. Divide the total width of DVDs by the width of one shelf to find how many DVDs will fit on one shelf:
- Number of DVDs on one shelf = Total width of DVDs / Width of one shelf
- Number of DVDs on one shelf = 5.64 feet / 2.5 feet = 2.256 (approximately 2 DVDs)
Therefore, Juan can fit approximately 2 DVDs on one shelf.
b. To find the width required for 60 DVDs to fit on one shelf, we divide the total width of the DVDs by the number of DVDs that can fit on one shelf:
1. Calculate the total width of all DVDs:
- Total width = Width of one DVD case * Number of DVDs
- Total width = 0.094 feet * 60 DVDs = 5.64 feet (approximately 5.64 feet)
2. Divide the total width of DVDs by 60 (number of DVDs) to get the width required for each DVD:
- Width required for 60 DVDs = Total width of DVDs / Number of DVDs
- Width required for 60 DVDs = 5.64 feet / 60 DVDs = 0.094 feet (approximately 0.094 feet)
Therefore, in order for 60 DVDs to fit on one shelf, each DVD case would need to be approximately 0.094 feet (or 9/16 inch) wide.