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 bo

Question

1 year ago

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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 bo

ttle 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. the expression that represents the cost of a bottle of water is p – 0.75. the equation that represents this scenario is (p – 0.75) + (p – 0.75) + p = 45. the cost of a soft pretzel is $3.25. the cost of a bag of peanuts is $4.00. the cost of 8 bottles of water is $26.00.

Mathematics

2 answers:

vichka [17] · Answer 1 · 2023-11-14T01:04:00+03:00

vichka [17]1 year ago

9 0

Answer:

A) The expression that represents the cost of a bottle of water is p – 0.75.

C) The cost of a soft pretzel is $3.25.

D) The cost of a bag of peanuts is $4.00.

Irina18 [472] · Answer 2 · 2023-11-13T23:42:22+03:00

Answer:

The correct statements are A. The cost of a bottle of water is p – 0.75, C. The cost of a soft pretzel is $3.25. and D. The cost of a bag of peanuts is $4.00.

Step-by-step explanation:

1. This is the information given to solve the case:

Amount spent by Mrs. Burns at the game = US$ 45

Detailed purchase done by Mrs. Burns = 4 soft pretzels, 3 bags of peanuts and 8 bottles of water.

Price of soft pretzel = p

Price of bag of peanuts = p + US$ 0.75

Price of bottle of water = p - US$ 0.75

2. This is the equation for solving the case:

4p + 3(p + 0.75) + 8(p - 0.75) = 45

4p + 3p + 2.25 + 8p - 6 = 45

4p + 3p + 8p = 45 + 6 - 2.25

15p = 48.75

p = 3.25

The price of a soft pretzel is US$ 3.25, of a bag of peanuts is US$ 4 (3.25 + 0.75) and of a bottle of water is US$ 2.50 (3.25 - 0.75).

3. Now, we have all the information necessary to analyze the statements.

A. The cost of a bottle of water is p – 0.75. It's correct.

B. The equation that represents this scenario is (p – 0.75) + (p – 0.75) + p = 45. It's false.

C. The cost of a soft pretzel is $3.25. It's correct.

D. The cost of a bag of peanuts is $4.00. It's correct.

E. The cost of 8 bottles of water is $26.00. It's false. (8 * 2.50 = 20)

The correct statements are A. The cost of a bottle of water is p – 0.75, C. The cost of a soft pretzel is $3.25. and D. The cost of a bag of peanuts is $4.00.