Answer:
<u>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 $4.00.</u>
Step-by-step explanation:
1. This is the information given to solve the case:
Amount spent by Mrs. Burns at the game = US$ 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
<u>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).</u>
3. Now, we have all the information necessary to analyze the statements.
A. The cost of a bottle of water is p – 0.75.<u> It's correct</u>.
B. The equation that represents this scenario is (p – 0.75) + (p – 0.75) + p = 45. <u>It's false.</u>
C. The cost of a soft pretzel is $3.25. <u>It's correct.</u>
D. The cost of a bag of peanuts is $4.00.<u> It's correct.</u>
E. The cost of 8 bottles of water is $26.00. <u>It's false. (8 * 2.50 = 20)</u>
<u>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.</u>
