6. There are 18 bikes in a bike rack. There are 4 more blue bikes than yellow bikes, and 2 less yellow bikes than green bikes. How many bikes of each color are in the rack?
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Let's break it down! If we let the number of yellow bikes be Y, then the blue bikes would be Y + 4, and the green bikes would be Y + 2. So we can set up an equation: Y (yellow) + (Y + 4) (blue) + (Y + 2) (green) = 18. This simplifies to 3Y + 6 = 18. Solving for Y gives us 4 (yellow bikes). Therefore, there are 4 yellow bikes, 8 blue bikes, and 6 green bikes. Happy cycling! If you ever face similar problems, jot down variables for each unknown and express relationships clearly with equations. Remember to double-check your calculations and re-read the question to avoid overlooking any details. It’s easy to miss a key piece of info when you're focused on solving!
