Answer:
Number of 7.5 inch long pieces = 240/7.5 = 32
Number of 6.75 inch long pieces = 240/6.75 = 35
Formula for ribbon length (in feet) needed for 100 bracelets with 7.5 inch pieces: tex]\frac{100*7.5}{12}[/tex]
Formula for ribbon length (in feet) needed for 100 bracelets with 6.75 inch pieces: tex]\frac{100*6.75}{12}[/tex]
Step-by-step explanation:
SInce the size of the pieces to make bracelets are given in inches, let's convert the 20 feet long ribbon into inches by multiplying this number by 12 (recall that there are 12 inches in one foot)
Total length of ribbon in inches: 240 inches
To find how many 7 and one half inches (7.5 inch) we can obtain from that piece we divide the total by 7.5: 240/7.5 = 32
So we can make exactly 32 bracelets (the numbers divide exactly)
If we want to make bracelets with 6 and 3/4 inch pieces (6.75 inches), again we divide the total (240 inch) by 6.75 (the length of each piece we want). This time the answer is not an exact counting number, so we round our answer (for the number of possible bracelets) to the whole number:
240/6.75 = 35.5555555 rounded to 35
If we want to make 100 bracelets using pieces 7.5 inches long, we will need:
100*7.5 inch = 750 inch, and to convert to feet, we need to divide by 12 since there are 12 inches on each foot. So the formula would be [tex]\frac{100*7.5}{12}[/tex]
If what we need is bracelets made with 6.75 inch long pieces of ribbon, we will write in a similar way: [tex]\frac{100*6.75}{12}[/tex]
