If she cuts the 32 inch string into strands of 8 inches then she will have 4 equal pieces. And since 48 is divisible by 8 as well, this would mean 8 inches would have to be the longest necklace she'd be able to make.
Step-by-step explanation: For this question we should just find the greatest common factor between 32 and 48 since we want the necklace to be as long as it can be but still have equal pieces. Meaning, no fractions.
If you had 32 inches of string you could make four 8 inch long necklaces since there in no other factor greater than 8 that can be divisible by both of these numbers. With a string 48 inches long, you can make 6 8 inch long necklaces. That would be a total of 10 necklaces betweenn 80 inches of string (between both pieces)
For this case we have the following expression: (x-1) / (3) = k Substituting the value of k = 3 we have: (x-1) / (3) = 3 From here, we must clear the value of x. We have then: x-1 = 3 * 3 x-1 = 9 x = 9 + 1 x = 10 Answer: The value of x is given by: x = 10
