Tim has $20 to buy snacks for 12 people in an office. each person will get one snack. tim is buying bags of pretzels that cost $1.50 per bagand bags of crackers that cost $2.00 per bag.

how many bags of pretzels will tim buy?

  8 bags of pretzels

Step-by-step explanation:

Let x represent the number of bags of pretzels Tim buys. We assume he spends exactly $20 on exactly 12 bags of snack food. Then his purchase is ...

  1.50x + 2.00(12-x) = 20.00

  -0.50x +24.00 = 20.00 . . . eliminate parentheses, collect terms

  -0.50x = -4.00 . . . . . . . . . . .subtract 24

  x = 8 . . . . . . . . . . divide by -0.50

Tim will buy 8 bags of pretzels.