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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?

User RandomEtc
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1 Answer

1 vote

Answer:

$0.25x + $0.05y = $5.45

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

User Moddaman
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