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kati45 [8]
4 years ago
15

A supplier sells 2 and 1/4 pounds of mulch for every 1 and 1/3 pounds of gravel. The supplier sells 172 pounds of mulch and grav

el combined. How many pounds of each item does the supplier sell?  can you please answer with ratios?
Mathematics
1 answer:
polet [3.4K]4 years ago
4 0

Because ratios can be written as fractions
\frac{mulch}{2.25}=\frac{gravel}{1.33}

172 =\frac{mulch}{2.25}+ \frac{gravel}{1.33}
172 - \frac{mulch}{2.25} = \frac{gravel}{1.33}
76.44 mulch = x amount of gravel = 172
Gravel = 172 - 76.44
            = 95.56



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QUESTION 11.1
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The group paid $ 5250 at first city and $ 6250 at second city

<u>Solution:</u>

Let x = the charge in 1st city before taxes

Let y = the charge in 2nd city before taxes

The hotel charge before tax in the  second city was $1000 higher than in the first

Then the charge at the second hotel before tax will be x + 1000

y = x + 1000 ----- eqn 1

The tax in the first city was 8.5% and the  tax in the second city was 5.5%

The total hotel tax paid for the two cities was $790

<em><u>Therefore, a equation is framed as:</u></em>

8.5 % of x + 5.5 % of y = 790

\frac{8.5}{100} \times x + \frac{5.5}{100} \times y = 790

0.085x + 0.055y = 790 ------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Substitute eqn 1 in eqn 2</u></em>

0.085x + 0.055(x + 1000) = 790

0.085x + 0.055x + 55 = 790

0.14x = 790 - 55

0.14x = 735

<h3>x = 5250</h3>

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y = 5250 + 1000

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Answer:

The correct answer is the first one of your list of options:

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Step-by-step explanation:

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