Question

Ella has 6 more quarters than dimes. The total value of her coins is $6.05. How many quarters does she has?

Answer 1

The number of quarters Ella has is 19 quarters

Let

the number of dimes = x

The number of quarters = x + 6

Therefore,

Total number of coins:

• 2x + 6

Total cost of the coins:

• 0.1(x) + 0.25(x + 6)
• 0.1x + 0.25x + 1.5
• 0.35x + 1.5

Therefore,

0.35x + 1.5 = 6.05

0.35x = 6.05 - 1.5

0.35x = 4.55

x = 4.55 / 0.35

x = 13

Therefore, the number of quarters Ella has is 13 + 6 = 19 quarters

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