SOLUTION: Each family in a neighborhood is contributing $20 worth of food to the neighborhood picnic. The Harlin family is bringing 12 packages of buns. The hamburger buns cost $2.00 per pac

Question 1009594: Each family in a neighborhood is contributing $20 worth of food to the neighborhood picnic. The Harlin family is bringing 12 packages of buns. The hamburger buns cost $2.00 per package. The hotdog buns cost $1.50 per package. How many packages of each type of bun did they buy?
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
Pack of hamburger buns: x
Pack of hot dog buns: y
x+y= 12 Subtract x from both sides:
y= 12-x We'll use this value for y in the next equation.
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2x+1.5y= 20 Substitute for y:
2x+1.5(12-x)= 20
2x+18-1.5x= 20 Add x on left and subtract 18 on both sides:
0.5x= 2 Divide both sides by 0.5
x= 4 They are bringing 4 packs of hamburger buns and 12-4= 8 packs of hot dog buns.
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Check:
4*2= 8
8*1.5= 12
8+12= $20 We have the correct answer
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