I have 30 cups of juice, 8% is apple. How many cups do I need to make it 10% grapefruit

Answer 1

30 cups. Pour out the apple juice and add 10% grapefruit juice to each cup.

Answer 2

Hi Shaareh,

Final answer: Add about 3.33 cups of grapefruit juice to your 30 cups of juice to make it 10% grapefruit.

Step 1: You have 30 cups of juice, and 8% is apple juice. That's 0.08 times 30, which gives you 2.4 cups of apple juice.

Step 2: The remaining juice is 30 - 2.4, which equals 27.6 cups.

Step 3: Let's say you want to add X cups of grapefruit juice to make the new total juice mix 10% grapefruit. The new total amount of juice will be 30 + X cups. So, the equation to find X is:

X / (30 + X) = 0.10

Step 4: Solve for X. Multiply both sides by (30 + X) to get:

X = 0.10 * (30 + X)

Solve this equation to find X:

0.90X = 3

X = 3 / 0.90

X = 3.3333 cups

You'd need to add about 3.33 cups of grapefruit juice to your 30 cups of juice to make it 10% grapefruit.

If you found this helpful, I am happy to offer a free tutoring session to go over much more. Either way, your feedback is greatly appreciated!

Thank you,

Benjamin M.