At the game, Mrs. Burns spent $45 for 4 soft pretzels, 3 bags of peanuts, and 8 bottles of water for snacks for the family. A bottle of water cost $0.75 less than a soft pretzel, and a bag of peanuts cost $0.75 more than a soft pretzel. Let p represent the price of a soft pretzel. Which statements are true about this scenario? Check all that apply.
Answer
A
The expression that represents the cost of a bottle of water is p – 0.75.
B
The equation that represents this scenario is (p – 0.75) + (p – 0.75) + p = 45.
C
The cost of a soft pretzel is $3.25.
D
The cost of a bag of peanuts is $4.00.
E
The cost of 8 bottles of water is $26.00.
Explanation
A bottle of water costs p − 0.75, so statement A is true. The total cost is 4p + 3(p + 0.75) + 8(p − 0.75) = 45; solving gives 15p − 3.75 = 45, so p = $3.25. Thus a bag of peanuts costs $3.25 + $0.75 = $4.00, making C and D true. Eight bottles of water cost 8($3.25 − $0.75) = $20, not $26, and statement B does not correctly represent the quantities purchased.
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