Question

Maya has a recipe for blueberry chocolate chip muffins. She is using 3/4 of the amount of oats called for and increasing the amount of blueberries by 1/4 of the original amount. She then wants to double her new recipe. How many cups of oats will Maya need? Write your answer as a fraction in simplest form.

a) 5/4 cups
b) 3/8 cups
c) 7/4 cups
d) 9/8 cups

Answer 1

Maya will need 2 cups of oats.

Step-by-step explanation:

To find out how many cups of oats Maya will need, we first need to calculate the new amount of oats and then double it. Maya is using 3/4 of the original amount of oats, so the new amount of oats will be (3/4) x original amount. Next, Maya is increasing the amount of blueberries by 1/4 of the original amount. Lastly, Maya wants to double her new recipe, so we need to calculate (3/4) x original amount + (1/4) x original amount and then multiply the result by 2. Let's simplify the fractions first. (3/4) x (2/2) = 6/8 and (1/4) x (2/2) = 2/8. Now, we can add the fractions together: 6/8 + 2/8 = 8/8. Finally, we need to double this amount, so 2 x 8/8 = 16/8, which simplifies to 2 cups. Therefore, Maya will need 2 cups of oats.