Respuesta :
To find the total cost, we need to determine how many paper clips are needed to cover a total length of 56 inches.
Let \( x \) be the number of paper clips needed. Since each paper clip is \( \frac{7}{8} \) of an inch long, the total length covered by \( x \) paper clips is \( \frac{7}{8}x \) inches.
Setting this equal to the given total length of 56 inches:
\[ \frac{7}{8}x = 56 \]
Now, solve for \( x \):
\[ x = \frac{56}{\frac{7}{8}} \]
\[ x = 64 \]
So, you need 64 paper clips to cover a total length of 56 inches.
Now, to find the total cost:
\[ \text{Total cost} = \text{Cost per paper clip} \times \text{Number of paper clips} \]
\[ \text{Total cost} = 3 \text{ cents} \times 64 \]
\[ \text{Total cost} = 192 \text{ cents} \]
Therefore, the total cost of these paper clips is $1.92.
Let \( x \) be the number of paper clips needed. Since each paper clip is \( \frac{7}{8} \) of an inch long, the total length covered by \( x \) paper clips is \( \frac{7}{8}x \) inches.
Setting this equal to the given total length of 56 inches:
\[ \frac{7}{8}x = 56 \]
Now, solve for \( x \):
\[ x = \frac{56}{\frac{7}{8}} \]
\[ x = 64 \]
So, you need 64 paper clips to cover a total length of 56 inches.
Now, to find the total cost:
\[ \text{Total cost} = \text{Cost per paper clip} \times \text{Number of paper clips} \]
\[ \text{Total cost} = 3 \text{ cents} \times 64 \]
\[ \text{Total cost} = 192 \text{ cents} \]
Therefore, the total cost of these paper clips is $1.92.
