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rjkz [21]
3 years ago
10

A woman has twice as many dimes as quarters in her purse. If the dimes were quarters and the quarters were dimes, she would have

$1.20 more than she now has. How many of each does she have now?
Mathematics
2 answers:
Fudgin [204]3 years ago
6 0

Answer:

8 Quarters and 16 Dimes

Digiron [165]3 years ago
4 0
If x = # of quarters, then, the # of dimes will be equal to 2x. The total value (z) would be equal to:

z = 0.25x + 0.10(2x)

Then, since you switch the quarters and the dimes, and you have a new total, the resulting equation will be:

1.2 + z  = 0.25(2x) + 0.10(x)

Plug in the values you know:

1.2 + (0.25x + 0.10(2x)) = 0.25(2x) + 0.10(x)

Solve for x:

1.2 + (0.25x + 0.20x) = 0.50x + 0.10x
1.2 + 0.45x = 0.60x
1.2 = 0.15x
x = 1.2/0.15 = 8

This means that there are 8 Quarters in her bag right now. So, the amount of dimes is just 2x which is 16. So your answer will be:

She has 8 Quarters and 16 Dimes in her bag right now. Or, $3.60.

If this doesn't make sense, then tell me. I have some resources where I got the answer from to put it into simplest terms. I have the website if you want.
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An airline knows that, on average, the probability that a passenger will not show up for a flight is 6%. If an airplane is fully
V125BC [204]

a) Number of seats expected to be empty = 18

b) Number of passengers expected to show up for the flight = 291

Step-by-step explanation:

Step 1:

Probability that a passenger will not show up for the flight = 6%

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Step 2 :

a)

Number of seats expected to be empty = 6% of 300 = \frac{6}{100} × 300 = 18

b)

Number of passengers over booked = 10

Probability that a passenger will turn up for a flight  = 100 - 6% = 94%

Number of passengers when the flight is overbooked = 300 + 10 = 310

Hence number of passengers who are expected to show up for the flight = 94% of 310 =  \frac{94}{100} × 310  = 291.4 = 291 (rounded of whole number as this represents number of passengers)

Step 3 :

Answer :

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b) Number of passengers expected to show up for flight = 291

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