Landyn wants to mix concentrate and water together to make her juice. The juice is 15% concentrate and 85% water. Her pitcher can hold 12 cups of juice. How many cups of concentrate does she need?

since the concentrate is 100% juice, and the water is 0% juice, we have

100x + 0(12-x) = 15(12)
x = 1.8

To determine how many cups of concentrate Landyn needs, we'll need to calculate 15% of the total volume of the juice.

Step 1: Calculate 15% of the total volume:
- 15% of 12 cups = (15/100) * 12 cups = 0.15 * 12 cups = 1.8 cups

Therefore, Landyn needs 1.8 cups of concentrate to make 12 cups of juice.