69.8k views
5 votes
Kiran is buying some grapes and nuts for a meeting of the debate club. He will buy 6

ounces of grapes per person and 4 ounces of nuts per person.
The grapes cost 20¢ per ounce, and the nuts cost $8 per pound. (A pound contains 16
ounces.) Let p represent the number of people in the club, g represent the number of
ounces of grapes to buy, n represent the number of ounces of nuts to buy, and T
represent the total number of dollars that Kiran will spend.
Select all of the equations that could represent the quantities and constraints in this
situation.
A.T = (6+4)p
B. g = 6p
C. T = (0.2 + 8)p
D.n = 8p
E.T= (1.20+ 2)p

User Taga
by
6.9k points

1 Answer

5 votes

Answer:

B, D, E

Explanation:

Let's break down the problem and identify the quantities and constraints involved: 1. The quantity of grapes Kiran will buy is determined by the number of people in the club. Since Kiran will buy 6 ounces of grapes per person, the equation representing this is: - g = 6p (where g represents the number of ounces of grapes to buy and p represents the number of people in the club) - This equation represents the quantity of grapes. 2. The quantity of nuts Kiran will buy is also determined by the number of people in the club. Since Kiran will buy 4 ounces of nuts per person, the equation representing this is: - n = 4p (where n represents the number of ounces of nuts to buy and p represents the number of people in the club) - This equation represents the quantity of nuts. 3. The total number of dollars that Kiran will spend, represented by T, is determined by the cost of grapes and nuts. The cost of grapes is $0.20 per ounce, and the cost of nuts is $8 per pound (1 pound = 16 ounces). Therefore, the equation representing the total cost is: - T = (0.20g + 8n) (where T represents the total number of dollars Kiran will spend, g represents the number of ounces of grapes, and n represents the number of ounces of nuts) - This equation represents the total cost. Based on the given information and constraints, the equations that could represent the quantities and constraints in this situation are: B. g = 6p (represents the quantity of grapes) D. n = 4p (represents the quantity of nuts) E. T = (0.20g + 8n) (represents the total cost) Please note that options A and C are not correct because they do not accurately represent the quantities and constraints in this situation. Option A suggests that the total cost is determined by the sum of the quantities of grapes and nuts per person, while option C suggests that the total cost is determined by the sum of the costs of grapes and nuts per person. These options do not align with the given information and constraints. I hope this helps...

User John Knoeller
by
7.3k points