20 points! Brainliest! Need help

Mathematics

1 answer:

antiseptic1488 [7]4 years ago

8 0

Answer:

n = 5q; 25q+5n = 200
(n, q) = (20, 4)
Margie has 20 nickels and 4 quarters

Step-by-step explanation:

a) Using the defined variables, we can translate the problem statements to equations:

n = 5q . . . . Margie has 5 times as many nickels as quarters
25q + 5n = 200 . . . . the total value of Margie's coins is 200 cents

b) Substituting for n, we have ...

25q +5(5q) = 200

50q = 200 . . . . . . . collect terms

q = 200/50 = 4 . . . divide by the coefficient of q

n = 5·4 = 20

The solution is (n, q) = (20, 4).

c) Since n represents the number of nickels Margie has, n=20 means Margie has 20 nickels. Similarly, q=4 means Margie has 4 quarters.

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