Aaron bought a bagel and 3 muffins for $7.25. Bea bought a bagel and 2 muffins for $6. How much is b

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Aaron bought a bagel and 3 muffins for $7.25. Bea bought a bagel and 2 muffins for $6. How much is bagel and how much is a muffin?

Let b be the number of bagels and m be the number of muffins. We have two equations:

1. b + 3m = 7.25
2. b + 2m = 6

Subtract (2) from (1)
m = 1.25

Plug this into (2), we have:
b + 2(1.25) = 6
b + 2.5 = 6

Subtract 2.5 from each side
b = 3.5