Answer :
Explanation: Once n represents the number of beads used to make a bracelet and n+56 is the number of beads used to make a necklace we have that the total number of beads to make a single bracelet plus a single necklace is given by the following expression
Letter a)
[tex]\begin{gathered} \text{Total}_{beads}=Beads_{bracelet}+Beads_{\text{necklace}} \\ \text{Total}_{beads}=n+(n+56) \\ \text{Total}_{beads}=2n+56 \end{gathered}[/tex]Letter b)
Once Emma has 100 beads we can substitute this value on our expression as follows
[tex]\begin{gathered} \text{Total}_{beads}=2n+56 \\ \text{100}=2n+56 \\ \frac{100-56}{2}=n \\ n=22 \end{gathered}[/tex]As we can see above the number of beads used to make the bracelet is 22