### Home > CCA > Chapter 9 > Lesson 9.1.4 > Problem 9-38

9-38.

Write and solve a system of equations for the situation described below. Define your variables and write your solution as a sentence. Homework Help ✎

Daria has all nickels and quarters. The number of nickels is 3 more than twice the number of quarters. If she has $1.90 in all, how many nickels does Daria have?

*n* = number of nickels *q* = number of quarters

so: *n* = 2*q* + 3 and

$0.05*n* + $0.25*q* = $1.90.