Problem

to bribe the guard with cash instead! 10) Zachary reaches into his pocket and pulls out $\$ 1.85$ in dimes and quarters. He notices that he has 11 coins total. How many of each coin does Zachary have? Solve for the answer using an algebraic method, and answer in a

Solution

Step 1 :Let x be the number of dimes and y be the number of quarters.

Step 2 :We have two equations: \(x + y = 11\) (total number of coins) and \(0.10x + 0.25y = 1.85\) (total value of the coins).

Step 3 :Solve the system of equations using substitution or elimination method.

Step 4 :Solution: \(x = 6\) and \(y = 5\).

Step 5 :\(\boxed{\text{Zachary has 6 dimes and 5 quarters}}\)

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Source: https://solvelyapp.com/problems/16119/

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