Question

henry incorrectly said the rate 1/5 pound/ 1/20 quart can be written as the unit rate 1/100 pound per quart. What is the correct unit rate? What error did Henry likely make?

Answer 1

Answer:

4 pounds per quart

Step-by-step explanation:

Henry divided by 20 instead of multiplying by 20.

1/5 pound is the numerator and 1/20 quart is the denominator. To make the denominator equal to 1 quart, you need to multiply by 20.

So 1/5 x 20 = 4 pounds.

Answer 2

Literally, a unit rate means a rate for one.

• The unit rate is 4 pounds per quart
• Henry used the wrong arithmetic operator

The rate is given as:

$\mathbf{Rate = \frac{1}{5}\ pound\ per\ \frac{1}{20}\ quart}$

Per means divide.

So, the expression becomes

$\mathbf{Rate = \frac{1}{5}\ pound\ \div \frac{1}{20}\ quart}$

Express as products

$\mathbf{Rate = \frac{1}{5}\ pound\ \times \frac{20}{1\ quart}}$

Simplify

$\mathbf{Rate = \frac{1}{1}\ pound\ \times \frac{4}{1\ quart}}$

Rewrite as:

$\mathbf{Rate = \frac{4\ pound}{1\ quart}}$

So, the unit rate is 4 pounds per quart

Henry's error is that: He multiplied 1/5 by 1/20, instead of dividing 1/5 by 1/20

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