Create a Quiz. The academic subject for which the text must be created - Mathematics. It should be for students studying at Year or Grade 9 ...

Instructions

This quiz contains 5 open-ended questions.
Answer all questions with proper explanations and calculations wherever necessary.
Submit your answers before the due date.
Good luck!

What is a ratio? Provide an example.
Simplify the ratio 12:36 in its lowest terms.
A recipe for a cake requires 2 cups of flour for every 3 cups of sugar. If you want to make 12 cups of flour, how much sugar will you need?
The ratio of men to women in a college is 4:5. If there are 240 students in the college, how many are women?
The ratio of boys to girls in a class is 2:3. If there are 28 girls in the class, how many boys are there?

A ratio is the relationship between two or more quantities of the same kind. For example, if there are 6 boys and 4 girls in a class, the ratio of boys to girls is 6:4 or 3:2.
The greatest common factor of the given ratio 12:36 is 12. So, dividing both numbers by 12, we get the simplified ratio 1:3.
Let's use proportions to solve the problem.

2 cups of flour = 3 cups of sugar

12 cups of flour = (3/2) x 12 = 18 cups of sugar

Therefore, 18 cups of sugar will be needed to make 12 cups of flour.

Let the number of men in the college be 4x and the number of women be 5x.

So, 4x + 5x = 240

9x = 240

x = 26.67

Therefore, the number of women in the college is 5 x 26.67 = 133.35. As the question asked for a whole number, we can round up the answer to 134.

Let the number of boys in the class be 2x and the number of girls be 3x.

Therefore, 3x = 28

x = 9.33

Thus, the number of boys in the class is 2 x 9.33 = 18.66. As the question asked for a whole number, we can round up the answer to 19.