4 couples picnic puzzle

4 couples picnic puzzle

4 couples decided to go on a picnic together.

Dana ate 3 sandwiches, Alice ate 2, Nina ate 4 and Maria ate 1.
Jason ate as many sandwiches as his girlfriend,
Peter — twice as much as his girlfriend,
Alex — 3 times as much,
and Nathan — 4 times as much as his girlfriend.

Together, they ate 32 sandwiches.
What is Alex’s girlfriend’s name?

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Answer : Alex’s girlfriend is Maria.

Women ate 10 sandwiches total:
> Nina (4) + Dana (3) + Alice (2) + Maria (1) = 10

Men ate 22 sandwiches total: 32 - 10 = 22

Match the multipliers to reach 22:
> Nathan (4x) paired with Alice (2) -> 8
> Peter (2x) paired with Nina (4) -> 8
> Jason (1x) paired with Dana (3) -> 3
> Alex (3x) paired with Maria (1) -> 3
Total: 8 + 8 + 3 + 3 = 22

Answer: Alex’s girlfriend is Maria.