20 points! Brainliest! Need help

Margie has 5 times as many nickels as quarters. She has a total of $2.00.

Write a system of equations to represent the situation. Let n represent the number of nickels and q represent the number of quarters.

Solve the system you wrote in part (a). Show your work.

Interpret your solution in the context of the problem.

Step-by-step explanation:

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

__

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.

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)