Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How do you find the number of pieces in a larger package based on a smaller package?

Back

To find the number of pieces in a larger package, set up a proportion based on the known quantities. For example, if 6 ounces contain 45 pieces, then for 10 ounces, you can set up the equation: 6/45 = 10/x, where x is the number of pieces in the 10-ounce package.

Front

What is the formula to calculate the number of pieces in a package?

Back

The formula is: (Number of pieces in smaller package / Weight of smaller package) = (Number of pieces in larger package / Weight of larger package).

Front

If a 6-ounce package has 45 pieces, how many pieces are in a 1-ounce package?

Back

To find the number of pieces in a 1-ounce package, divide the number of pieces by the weight: 45 pieces / 6 ounces = 7.5 pieces per ounce.

Front

What is the relationship between weight and quantity in proportional reasoning?

Back

In proportional reasoning, as the weight of the package increases, the quantity (number of pieces) also increases, maintaining a constant ratio.

Front

How do you set up a proportion for this problem?

Back

You set up a proportion by equating the ratio of the number of pieces to the weight for both packages: 6 ounces/45 pieces = 10 ounces/x pieces.

Front

What is cross-multiplication in solving proportions?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio and setting them equal.

Front

If you have 75 pieces in a 10-ounce package, how do you verify the proportion?

Back

To verify, check if the ratios are equal: 6/45 should equal 10/75. Cross-multiply to see if 6*75 = 10*45.

Front

What is the importance of understanding ratios in real-life applications?

Back

Understanding ratios helps in making comparisons, scaling recipes, determining prices, and solving problems involving proportions in everyday life.

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities when they are combined together. It is often expressed as a quantity per one unit of another quantity.