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Kaitlen has $2.25 in nickels and dimes. The number of dimes is 5 less than twice the number of nickels. Find the number of nickels.

 Jun 2, 2023
 #1
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Let x be the number of nickels. We know that the number of dimes is 5 less than twice the number of nickels, so the number of dimes is 2x−5. We also know that Kaitlen has $2.25 in nickels and dimes. This means that 0.05x+0.10(2x−5)=2.25. Solving for x, we get x=9. Therefore, Kaitlen has 9​ nickels.

 Jun 2, 2023
 #2
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D=2*N  - 5,     

5N + 10D ==225, solve for D, N

 

Use substitution to get:

 

D==17 - number of dimes

N==11 - number of nickels.

 Jun 3, 2023

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