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Gnesinka [82]
2 years ago
5

Anna has a collection of 45 nickels and quarters worth $8.05. How many nickets does she have?

Mathematics
1 answer:
Andreas93 [3]2 years ago
6 0

Anna has 16 nickels

<em><u>Solution:</u></em>

Let "n" be the number of nickels

Let "q" be the number of quarters

We know that,

1 nickel = $ 0.05 or 5 cent

1 quarter = $ 0.25 or 25 cent

<em><u>Anna has a collection of 45 nickels and quarters</u></em>

Therefore,

n + q = 45

q = 45 - n --------- eqn 1

<em><u>Anna has a collection of 45 nickels and quarters worth $8.05</u></em>

$ 8.05 is worth 805 cents

Thus we frame a equation as:

number of nickels x 5 cents + number of quarters x 25 cents = 805

n \times 5 + q \times 25 = 805

5n + 25q = 805 ----- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Substitute eqn 1 in eqn 2</u></em>

5n + 25(45 - n) = 805

5n + 1125 - 25n = 805

20n = 1125 - 805

20n = 320

n = 16

Thus Anna has 16 nickels

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