Step-by-step explanationto solve this we need to translate into math terms, so
Step 1
a) let d represents the number of dimes
let n represents the number of nickles
so
re write the expressions
![\begin{gathered} number\text{ of dimes=d} \\ seven\text{ times the number of dimes = 7d} \\ \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/1vqdkwabqruxbq2xieud4viuhm09h432o6.png)
The number of nickels is three more than seven times the number of dimes in other words you have to add 7 to seven times the number of dimes to obtain the number of nickles
hence
![n=7d+3](https://img.qammunity.org/2023/formulas/mathematics/college/rz9gvbrj3yq3l9g4gdd5cjfk52z4iivlqp.png)
therefore , the expression for the number of nickles is
![7d+3](https://img.qammunity.org/2023/formulas/mathematics/college/7a4pxj0kpd23o6mzrvfe7fqjtfsglrbiv5.png)
I hope this helps you