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artcher [175]
3 years ago
15

there are nickels, dimes, and quarters in a piggy bank. altogether, the coins are worth $3.65. the number of dimes is three time

s greater than the number of nickels, and the number of quarters is one greater than double the number of nickels. how many quarters, nickels, and dimes are there?
Mathematics
1 answer:
a_sh-v [17]3 years ago
6 0

Answer:

4 nickels

12 dimes

9 quarters

Step-by-step explanation:

x = number of nickels

y = number of dimes

z = number if quarters

0.05×x + 0.1×y + 0.25×z = 3.65

y = 3x

z = 2x + 1

0.05x + 0.1×3x + 0.25×(2x + 1) = 3.65

5x + 30x + 25×(2x + 1) = 365

35x + 50x + 25 = 365

85x = 340

x = 340/85 = 4

y = 3×4 = 12

z = 2×4 + 1 = 9

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