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20 November, 07:17

Ms. Kincaid keeps a supply of dimes and quarters in her car to pay for highway tolls. A week's supply of toll coins contains 5 more dimes than quarters and totals $4.00. How many quarters does Ms. Kincaid spend on highway tolls in one week

A. 10

B. 15

C. 16

D. 40

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Answers (2)
  1. 20 November, 10:19
    0
    Answer: Option A, she has 10 quarters.

    Step-by-step explanation:

    We have quarters of $0.25 and dimes of $0.10

    We have 5 more dimes than quarters and a total of $4.00

    How many quarters Ms. Kincaid has?

    Q is the number of quarters and D the number of dimes.

    We have the system of equations:

    D = Q + 5

    Q*$0.25 + D*$0.10 = $4.00

    First, we can replace the first equation into the second and solve it for Q.

    Q*$0.25 + (5 + Q) * $0.10 = $4.00

    Q * ($0.25 + $0.10) + $0.50 = Q * ($0.35) + $0.50 = $4.00

    Q = (4.00 - 0.50) / 0.35 = 3.50/0.35 = 10

    So she has 10 quarters.

    The correct option is A.
  2. 20 November, 11:14
    0
    Answer: (A) 10

    Step-by-step explanation:

    Value Quantity = TOTAL Value

    dimes:.10 Q + 5 =.10 (Q = 5)

    quarters:.25 Q =.25Q

    Dimes + Quarters = $4.00

    .10 (Q + 5) +.25Q = 4.00

    .10Q +.50 +.25Q = 4.00

    .50 +.35Q = 4.00

    .35Q = 3.50

    Q = 10

    Quarters = 10

    Dimes = Q + 5

    = 10 + 5

    = 15
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