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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  1. math_celebrity

    math_celebrity Administrator Staff Member

    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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