Question

A company produces candy bags that each hold about 528 cubic inches of candy. Each bag is filled with any mixture of lollipop candies and gummy bear candies. When a bag contains only lollipop candies, then it has about 361 candies. When a bag contains only gummy bear candies, then it has about 697 candies. Given any candy bag produced by this company, which of the following equations could relate the approximate number of lollipop candies, 7, in the bag and the approximate number of gummy bear candies, g, in the bag? A company produces candy bags that each hold about 528 cubic inches of candy . Each bag is filled with any mixture of lollipop candies and gummy bear candies . When a bag contains only lollipop candies , then it has about 361 candies . When a bag contains only gummy bear candies , then it has about 697 candies . Given any candy bag produced by this company , which of the following equations could relate the approximate number of lollipop candies , 7 , in the bag and the approximate number of gummy bear candies , g , in the bag ?​

Answer 1

The approximate number of lollipop candies, 7, and the approximate number of gummy bear candies, g, in a bag can be related by the equation: 7 + (697 - 7) x √((528 - g) / (697 - 7)) = 361.

Step-by-step explanation:

The number of lollipop candies, 7, and the number of gummy bear candies, g, in a bag can be related by the equation:

7 + (697 - 7) × √((528 - g) ÷ (697 - 7)) = 361

This equation represents the number of lollipop candies, 7, plus the difference between the number of gummy bear candies, 697, and 7, multiplied by the square root of the difference between the bag capacity, 528, and the number of gummy bear candies, g, divided by the difference between the number of gummy bear candies, 697, and 7. The resulting sum, 361, represents the approximate number of lollipop candies in the bag.

Answer 2

l/361 + g/697= 1

Khan Academy Sat Practice