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mars1129 [50]
2 years ago
10

Giuliana has 22 quarters and dollar coins worth a total of $10.75.

Mathematics
2 answers:
sertanlavr [38]2 years ago
7 0
Use the letters q and d to represent # of quarters and # of dollars.

q + d = 22 coins.

$0.25q + $1.00d = $10.75        Mult. this by 100 to eliminate fractions:
                                                 25q + 100d = 1075

Subst. q = 22 - d into the 2nd equation:

25 (22  - d) + 100 d = 1075

550 - 25d + 100d = 1075
550 + 75d = 1075
           75 d = 525
                 d = 7

q + d = 22, so if d = 7, then q = 22-7, or q=15.

There are 15 quarters and 7 dimes.
Ad libitum [116K]2 years ago
4 0

Let

q------> the number of quarters coins

d------> the number of dollars coins

we know that

1\ quarter=\$0.25

q+d=22

q=22-d ------> equation A

0.25q+d=10.75 -----> equation B

substitute equation A in equation B

0.25[22-d]+d=10.75

therefore

<u>the answer is the option</u>

0.25[22-d]+d=10.75

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