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____ [38]
3 years ago
15

A caterer needs to buy 21 pounds of pasta to cater a wedding. At a local store, 8 pounds of pasta cost $12. How much will the ca

terer pay for the pasta there?
1. Write a ratio for the given information about the cost of pasta



2. Would it be more helpful to write an equivalent ratio with 1 pound of pasta as one of the numbers, or with $1 as one of the numbers? Explain your reasoning, then write that equivalent ratio.




3. Find the answer and explain or show your reasoning.
Mathematics
2 answers:
Serggg [28]3 years ago
7 0

Answer:

1. 8/$12=21/$x then cross multiply.

2. 1/$1.5, we're looking for cost so $1 is more reasonable

3. $31.5

Step-by-step explanation:

12x 21/ 8 = 31.5

zalisa [80]3 years ago
5 0

Answer:

<h2>$31.50 </h2>

Step-by-step explanation:

To solve this problem, we need to use the rule of three, which is based on ratios and proportional relationships.

The ratio that shows the cost of pasta is:

\frac{\$12}{8 lb}

Which means that they charge $12 per 8 pounds of pasta.

Now, it would be help if we use the given ratio to apply the rule of three. Looking for a ratio per pound of pasta would be waste of time, and could confuse a lot. So, we just use the given ratio.

If 8 pounds of pasta costs $12, how much would be 21 pounds of pasta?

x=21 \ lb\frac{\$12}{8 \ lb}=\$ 31.50

Therefore, according to the given ration, it would cost $31.50 to get 21 pounds of pasta.

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leva [86]
<span>y=-4/x+1 is ambiguous, since it's not immediately clear whether you meant 

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I'm going to assume that the latter is what you meant.

1.  Interchange x and y, obtaining:

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2.  Solve this for y, obtaining  y+1 = -4/x, or   xy + x = -4, or
                                
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<u>Step 1: Set up</u>

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<u>Step 2: Solve</u>

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