# Lucas has nickels,dimes,and quarters in the ratio 1:3:2. If 10 of Lucas coins are quarters, how many

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Lucas has nickels,dimes,and quarters in the ratio 1:3:2. If 10 of Lucas coins are quarters, how many nickels and dimes does Lucas have?

1 + 3 + 2 = 6.

Quarters account for 2/6 which is 1/3 of the total coin count. Let x be the total number of coins. We have:
1/3x = 10

Multiply each side by 3
x = 30

We have the following ratios and totals:
• Nickels: 1/6 * 30 = 5 nickels
• Dimes: 3/6 * 30 = 15 dimes
• Quarters: 2/6 * 30 = 10 quarters

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