A jar contains x quarters and y nickels. The jar contains $5.45. What linear equation represents the relationship between the number of quarters, the number of nickels, and the value of the coins in the jar?

Respuesta :

Answer:

$0.25x + $0.05y = $5.45

Step-by-step explanation:

Recall that 1 nickel = $0.05

and 1 quarter = $0.25

Given that the jar contains x quarters and y nickels

The total amount of nickel in the jar

= $0.05y

The total amount of quarter in the jar

= $0.25x

Hence the total amount in the jar considering both nickels and quarters

= $0.25x + $0.05y

Since the jar contains $5.45

then

$0.25x + $0.05y = $5.45

This is the linear equation that represents the relationship between the number of quarters, the number of nickels, and the value of the coins in the jar