Hi James,
Step One: Create Let Statements
Let x= the number of nickels
Let 20-x= the number of dimes
Step Two: Create an equation
1.40=.05x+.10(20-x) Distribute
1.4=.05x+2-.10x Combine like terms
1.4-2=-0.05x Combine like terms
-0.06=-0.05x Divide both sides by -0.05
12=x
∴There are 12 nickels and 8 dimes.
Best,
Star