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Jimmy wants to ship some dumbbells to his sister. The flat rate box he is using allows a maximum weight of 70 pounds. Which of the following inequalities describes 
x, the number of 10 -pound dumbbells, and 
y, the number of 15 -pound dumbbells, Jimmy can send in the flat rate box?
Choose 1 answer:
(A) 
10 x+15 y <= 70
(B) 
15 x+10 y <= 70
(C) 
(x+10)+(y+15) <= 7
(D) 
(10+15)(x+y) <= 70

Jimmy wants to ship some dumbbells to his sister. The flat rate box he is using allows a maximum weight of 7070 pounds. Which of the following inequalities describes x x , the number of 1010 -pound dumbbells, and y y , the number of 1515 -pound dumbbells, Jimmy can send in the flat rate box?\newlineChoose 11 answer:\newline(A) 10x+15y70 10 x+15 y \leq 70 \newline(B) 15x+10y70 15 x+10 y \leq 70 \newline(C) (x+10)+(y+15)7 (x+10)+(y+15) \leq 7 \newline(D) (10+15)(x+y)70 (10+15)(x+y) \leq 70

Full solution

Q. Jimmy wants to ship some dumbbells to his sister. The flat rate box he is using allows a maximum weight of 7070 pounds. Which of the following inequalities describes x x , the number of 1010 -pound dumbbells, and y y , the number of 1515 -pound dumbbells, Jimmy can send in the flat rate box?\newlineChoose 11 answer:\newline(A) 10x+15y70 10 x+15 y \leq 70 \newline(B) 15x+10y70 15 x+10 y \leq 70 \newline(C) (x+10)+(y+15)7 (x+10)+(y+15) \leq 7 \newline(D) (10+15)(x+y)70 (10+15)(x+y) \leq 70
  1. Identify variables and weights: Identify the variables and their corresponding weights. We have xx representing the number of 1010-pound dumbbells and yy representing the number of 1515-pound dumbbells. The weight of the dumbbells sent by Jimmy is the sum of the weights of the 1010-pound and 1515-pound dumbbells.
  2. Write total weight inequality: Write the inequality that represents the total weight of the dumbbells. The total weight is 10x10x for the 1010-pound dumbbells plus 15y15y for the 1515-pound dumbbells. This total weight must be less than or equal to the maximum weight allowed by the flat rate box, which is 7070 pounds. So, the inequality is 10x+15y7010x + 15y \leq 70.

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