### Home > CAAC > Chapter 8 > Lesson 8.3.3 > Problem 8-116

8-116.

Write and solve an equation (or system of equations) for the situation described below. Define your variable(s) and write your solution as a sentence. Homework Help ✎

Daria has 18 coins that are 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?

Define your variables.

*n* = # of nickels*q* = # of quarters

Use the information in the problem to set up a system of equations.

2*q* + 3 = *n*

0.05*n* + 0.25*q* = 1.9

Substitute 2*q* + 3 in for *n*.

0.05(2*q* + 3) + 0.25*q* = 1.9

Solve for *q*.

0.1*q* + 0.15 + 0.25*q* = 1.9

0.35*q* = 1.75

*q* = 5

Substitute 5 into one of the original equations for *q*.

2(5) + 3 = *n*

10 + 3 = *n*

13 = *n*