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MAXImum [283]
3 years ago
12

You and a friend go to a mexican restaurant. you order 2 tacos and 3 enchiladas and your friend orders 3 tacos and 5 enchiladas.

one bill was $7.80 plus tax and the other bill was $12.70 plus tax. how much was each taco and each enchilada?
Mathematics
1 answer:
Eva8 [605]3 years ago
8 0
For this case, the first thing we must do is define variables.
 We have then:
 x: cost of tacos
 y: cost of enchiladas.
 We write the system of equations:
 2x + 3y = 7.80
 3x + 5y = 12.70
 Solving the system we have:
 x = 0.9 $
 y = 2 $
 Answer:
 
each taco and each enchilada was:
 
x = 0.9 $
 
y = 2 $
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Answer:

They would meet each other at 01 : 24 PM.

Step-by-step explanation:

  • Erik took a trip to see his friend Mike who lives 308 miles away.
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As Erik left his house at 10 AM driving at 70 mph and in 2 hours, his friend Mike left his place driving towards Erik at an average speed of 50 mph. It means

Erik left his place at 12:00 PM noon.

so, at 12:00 PM Erik had already traveled:

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Miles left =308-140=168\:\:miles

Let 't' be the time when they meet

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70t\:+\:50t\:=168

120t=168

\mathrm{Divide\:both\:sides\:by\:}120

\frac{120t}{120}=\frac{168}{120}

t=\frac{7}{5}

so

t=\frac{7}{5}=1.4\:\:hours

or 1 hour and 24 minutes after 12:00 noon

i.e.

12\:+\:1.4\:=1\:O'clock\:+\:24\:minutes

Therefore, they would meet each other at 01 : 24 PM.

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Mr. Luis wants to sell his house. The state he lives in charges a 3.5% sales tax on the sale of a house. The county charges a 3.
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We have been given that Mr. Luis wants to sell his house. The state he lives in charges a 3.5% sales tax on the sale of a house. The county charges a 3.9% sales tax, and the city charges a 2.2% sales tax.

We are asked to find the total tax, if Mr Luis sells his home for $122,500.

To find total tax, we will add all tax rates as they are being applied to same base.

\text{Total of tax rates}=3.5\%+3.9\%+2.2\%

\text{Total of tax rates}=9.6\%

Now we will find 9.6% of $122,500 to find total tax bill.

\text{Total tax bill}=\$122,500\times \frac{9.6}{100}

\text{Total tax bill}=\$1225\times 9.6

\text{Total tax bill}=\$11,760

Therefore, the total tax bill of Mr. Luis would be \$11,760.

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