A candy store makes an 8-pound mixture of gummy candy (g), jelly beans (j), and hard candy (h). The cost of gummy candy is $2.00 per pound, jelly beans cost $3.00 per pound, and hard candy costs $3.00 per pound. The mixture calls for four times as many gummy candy pieces as jelly beans. The total cost of the mixture is $20.00. Question 1 Which system of equations could be used to answer the question, "How many lbs of each ingredient did the store use?" (1 point) Responses g+j+h=8 2g+3j+3h=20 g=4j
The correct system of equations that could be used to answer the question is:
g + j + h = 8
2g + 3j + 3h = 20
g = 4j
The correct system of equations is:
1. g + j + h = 8
This equation represents the total weight of the mixture, which is 8 pounds.
2. 2g + 3j + 3h = 20
This equation represents the total cost of the mixture, which is $20.00. The cost of gummy candy is $2.00 per pound, jelly beans cost $3.00 per pound, and hard candy costs $3.00 per pound.
3. g = 4j
This equation represents the fact that there are four times as many gummy candy pieces as jelly beans in the mixture.
The correct system of equations to answer the question "How many lbs of each ingredient did the store use?" is:
1. g + j + h = 8 (This equation represents the total weight of the mixture, which is 8 pounds)
2. 2g + 3j + 3h = 20 (This equation represents the total cost of the mixture, which is $20)
Additionally, the given information states that the ratio of gummy candy to jelly beans is 4:1. To represent this in an equation, you can use:
3. g = 4j (This equation represents that the weight of gummy candy is four times the weight of jelly beans)