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LekaFEV [45]
3 years ago
11

Mrs. Kosko left $19.47 on the table in a restaurant after receiving the bill for $16.50. If there was no tax, what percent did s

he tip? (A) 15% (B) 13% (C) 17% (D) 18%
Mathematics
2 answers:
attashe74 [19]3 years ago
7 0
Take the cost of the bill and add the tip percentage of the bill. That is:

cost = bill + (bill \times\% \: tip)

or

cost = bill(1 + \% \: tip)

solve:

19.47 = 16.50(1 + \% \: tip)

\frac{19.47}{16.50} = 1 + \% \: tip

1.18 = 1 + \% \: tip

\% \: tip = 0.18 = 18\%

The tip was 18% of the bill.
spayn [35]3 years ago
6 0
She tipped 18 percent . 16.50x0.18= 2.97. 16.50+2.97= 19.47
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7. Jerry has 23 coins in nickels, n, and dimes, d. He
aliya0001 [1]

Answer:

17 nickles !

Step-by-step explanation:

First, identify the variables:

n = amount of nickels

d = amount of dimes

Next, setup the equations based on what you know.  The first equation is:

n + d = 28

For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:

0.05n + 0.10d = 1.95

This a three-step answer:

In one formula (you can use any of them; most people use the simplest one), single out the variable on one side

Apply the first formula into the second formula, and solve it to get the value of one variable

Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable

======

Step One:

n + d = 28

n + d - d = 28 - d

n = 28 - d

Step Two:

0.05n + 0.10d = 1.95

(0.05 * (28 - d)) + 0.10d = 1.95

1.40 - 0.05d + 0.10d = 1.95

1.40 + 0.05d = 1.95

1.40 - 1.40 + 0.05d = 1.95 - 1.40

0.05d = 0.55

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Step Three:

n = 28 - d

n = 28 - 11

n = 17

======

Your answer should be 17 nickels and 11 dimes.

You can double check by applying the variables into both formulas.

n + d = 28

17 + 11 = 28

28 = 28

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(0.05 * 17) + (0.10 * 11) = 1.95

0.85 + 1.10 = 1.95

1.95 = 1.95

I hope this helped.

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