ACC Unit 2 Review

Front

What is a ratio?

Back

A ratio is a relationship between two numbers that shows how many times the first number contains the second. It is often expressed as 'a to b' or a:b.

Front

How do you solve a ratio problem?

Back

To solve a ratio problem, identify the quantities involved, set up a proportion if necessary, and use cross-multiplication or equivalent fractions to find the unknown.

Front

If the ratio of gumballs to lollipops is 4 to 7, how do you find the total number of gumballs sold if 121 pieces were sold?

Back

First, add the parts of the ratio: 4 + 7 = 11. Then, divide the total pieces by the sum of the ratio parts: 121 ÷ 11 = 11. Multiply the gumball part by this result: 4 × 11 = 44 gumballs.

Front

What is the relationship between gold and silver medals in Fatima's case?

Back

For every 2 gold medals, Fatima has 5 silver medals. This means the ratio of gold to silver medals is 2:5.

Front

If Fatima has won 10 gold medals, how do you find the number of silver medals she has won?

Back

Set up a proportion based on the ratio: 2 gold medals correspond to 5 silver medals. If she has 10 gold medals, then (10 gold × 5 silver) ÷ 2 gold = 25 silver medals.

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/d.

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD). For example, the ratio 22:36 can be simplified by dividing both by 2, resulting in 11:18.

Front

What is the ratio of sketch books to notebooks if Maggie has 22 sketch books and 36 notebooks?

Back

The ratio of sketch books to notebooks is 22:36, which simplifies to 11:18.

Front

How do you scale a recipe for more servings?

Back

To scale a recipe, determine the ratio of the desired servings to the original servings, then multiply each ingredient by this ratio.

Front

If a recipe calls for 2 cups of milk for 5 servings, how many cups are needed for 8 servings?

Back

To find the amount needed for 8 servings, calculate the scaling factor: 8 ÷ 5 = 1.6. Then multiply: 2 cups × 1.6 = 3.2 cups, or 3 ⅕ cups.