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3 years ago

14

If a bag contains 12 quarters, 6 dimes, and 18 nickles, what is the part-to-whole ratio of nickles to all coins?

2 answers:

Vlad [161]3 years ago

7 0

Answer:

1:2

Step-by-step explanation:

There are 18 nickles so that number is 18. When added together, there are 36 total coins. Since it states nickle to all coins, we replace <em>to</em> with a colon and replace the words with the related numbers.

18:36

like a fraction, ratios can be simplified. 18 is half of 36 so the ratio would go to 1:2. This means that 1 in every 2 coins is a nickle.

Bad White [126]3 years ago

4 0

Answer:

1 to 2

Step-by-step explanation:

If a bag contains 12 quarters, 6 dimes, and 18 nickles, what is the part-to-whole ratio of nickles to all coins?

Total number of coins: 12 quarters, 6 dimes, and 18 nickles add to 36 coins

Number of nickles: 18 nickles

Ratio of nickles to all coins:

18 to 36

Divide both numbers by 18 to get 1 to 2

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Answer:

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Part 2) A 56 ounce bag of pumpkin Seeds cost $14.00

Step-by-step explanation:

Part 1) What is the unit rate for the pumpkin seeds?

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Let

y ----> the cost of pumpkin seeds in dollars

x ---> the weight in ounces

we have

For x=24 ounces, y=$6

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substitute the values

$k=\frac{6}{24}=\$0.25\ per\ ounce$

The unit rate is the same that the constant of proportionality k

therefore

The unit rate is

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Part 2) How much would 56. ounce bag of pumpkin seeds cost?

we know that

The linear equation is equal to

$y=0.25x$

For x=56 ounces

substitute in the linear equation and solve for y

$y=0.25(56)=\$14.00$

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