Question

in a class, 15 of the students have brown eyes and 10 have blue eyes. what fraction of the students have brown or blue eyes?
each small cake needs 1/4 cup of sugar. how much sugar is needed to make 6 cakes?
in a garden, 3/7 of the flowers are red, 2/7 of the flowers are blue, and the rest are yellow. what fraction of the flowers are yellow?
a bakery splits 2 dozen cookies equally among 8 boxes. how many cookies are in each box?
the school cafeteria needs 4.36 pounds of cheese to make burgers for lunch. they also need 3.55 pounds of cheese to make quesadillas for lunch. how many pounds of cheese does the school cafeteria need for both food items?

Explanation:

Step1: Subtract fraction from 1

$1 - \frac{2}{5} = \frac{5}{5} - \frac{2}{5} = \frac{3}{5}$

Step2: Multiply sugar per cake by 6

$\frac{1}{4} \times 6 = \frac{6}{4} = \frac{3}{2}$

Step3: Sum red and blue flower fractions

$\frac{2}{5} + \frac{4}{9} = \frac{18}{45} + \frac{20}{45} = \frac{32}{45}$

Step4: Subtract sum from 1 for yellow flowers

$1 - \frac{32}{45} = \frac{45}{45} - \frac{32}{45} = \frac{13}{45}$

Step5: Calculate total cookies

$2 \times 12 = 24$

Step6: Divide cookies by boxes

$\frac{24}{8} = 3$

Step7: Add cheese amounts

$8.36 + 3.55 = 11.91$

Answer:

1. $\frac{3}{5}$
2. $\frac{3}{2}$ cups
3. $\frac{13}{45}$
4. 3 cookies
5. 11.91 pounds