Question

This equation shows how the total number of necklaces Norma owns is related to the amount of money she spends on additional necklaces.

n = 2d

The variable d represents the amount of money she spends on additional necklaces, and the variable n represents the total number of necklaces she owns. With $21 to spend on new necklaces, how many total necklaces can Norma own?

necklaces

Answer 1

To find out how many total necklaces Norma can own with $21 to spend on new necklaces, we need to first determine how many additional necklaces she can buy with that amount.

The equation given is:

\[ n = 2d \]

Where:
- \( n \) is the total number of necklaces.
- \( d \) is the amount of money spent on additional necklaces.

Assuming the cost of each additional necklace is constant, we need to find \( d \) in terms of the cost per necklace. Let’s denote the cost of one additional necklace as \( c \). Therefore, the number of additional necklaces \( a \) that Norma can buy with $21 is:

\[ a = \frac{21}{c} \]

Substituting \( a \) into the equation \( d = a \cdot c \):

\[ d = \left(\frac{21}{c}\right) c = 21 \]

Now substituting \( d \) back into the formula \( n = 2d \):

\[ n = 2(21) = 42 \]

Thus, with $21, Norma can own a total of **42 necklaces**.