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mezya [45]
3 years ago
9

The 25 coins in Danielle's piggy bank have a value of at least $1.44. The bank contains only nickels and dimes. What is the fewe

st number of dimes that could be in the bank?
Mathematics
2 answers:
mamaluj [8]3 years ago
8 0

Answer:

The fewest number of dimes could be 4.

Step-by-step explanation:

Let x be the number of nickels and y be the number of dimes,

Since, total coins = 25

⇒ x + y = 25

⇒ x = 25 - y -----(1)

Now, 1 nickel = 0.05 dollars and 1 dimes = 0.1 dollars,

So, the total cost = 0.05x + 0.1y

According to the question,

0.05x + 0.1y ≥ 1.44

From equation (1),

0.05(25-y) + 0.1y ≥ 1.44

1.25-0.05y + 0.1y ≥ 1.44

1.25 + 0.05y ≥ 1.44

0.05y ≥ 1.44 - 1.25

0.05y ≥ 0.19

y ≥ 3.8 ≈ 4

Hence, the fewest number of dimes that could be in the bank is 4.

Tju [1.3M]3 years ago
6 0
Should be 3 dimes at least.
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