Question

to create the same shade of orange, how many drops of red needed when 1 drop of yellow pigment is used?
for exercise 9, answer the question.

1. in a classroom, the ratio of students who walk to school to students who ride their bike is 7 to 6. if 14 students walk to school, how many ride their bike?

for exercises 10 and 11, use the table and description to answer the questions.
all of maria’s flower bouquets have the same ratio of roses, daisies, and carnations shown in the table.
describe in words the ratio of roses to daisies in maria’s bouquets.

1. if a large bouquet contains 22 flowers, how many roses are in a large bouquet?

for exercise 12, answer the question.

1. stem connection hydrogen peroxide can be used for treating wounds or for cleaning. a chemical manufacturer makes a solution of hydrogen peroxide that is 97 parts water and 3 parts peroxide. how many ounces of peroxide would the manufacturer need to mix with 194 ounces of water to make the solution described?

Explanation:

Problem 9:

Step1: Define the ratio

Let the number of students who walk be \( W \) and who ride bike be \( B \). The ratio \( W:B = 7:6 \). We know \( W = 14 \).

Step2: Set up proportion

Let \( B \) be the number of bike - riding students. Then \(\frac{W}{B}=\frac{7}{6}\), substituting \( W = 14 \), we get \(\frac{14}{B}=\frac{7}{6}\).

Step3: Cross - multiply and solve

Cross - multiplying gives \( 7B=14\times6 \), so \( 7B = 84 \). Dividing both sides by 7, \( B=\frac{84}{7}=12 \).

Step1: Define the ratio

The ratio of water to peroxide is \( 97:3 \). Let the amount of peroxide be \( x \) ounces when water is 194 ounces.

Step2: Set up proportion

We have the proportion \(\frac{97}{3}=\frac{194}{x}\).

Step3: Cross - multiply and solve

Cross - multiplying gives \( 97x=194\times3 \). Since \( 194 = 97\times2 \), we have \( 97x=97\times2\times3 \). Dividing both sides by 97, \( x = 6 \).

Answer:

12

Problem 12: