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Sagot :
The equation for Beth is: 9x + 10y = 297, that is, option B.
The equation for Sarah is: 8x + 5y = 194, that is, option A.
What are equations?
Equations are relations between two quantities involving variables raised to multiple powers, making up terms along with numerals.
How to solve the question?
In the question, we are asked to identify the equations that represent the boxes of candy Beth and Sarah are selling, using x for the number of small boxes of candy and y for the number of large boxes of candy, from the given information.
For Beth:
We are informed that Beth sold 9 small boxes of candy and 10 large boxes of candy for a total of $297.
As x is used for the number of small boxes of candy, we get a term 9x for the selling of 9 small boxes, and as y is used for the number of large boxes of candy, we get a term 10y for the selling of 10 large boxes of candy.
The addition of these terms needs to make up 297, as the total selling amount is 297.
Thus, the equation for Beth is: 9x + 10y = 297, that is, option B.
For Sarah:
We are informed that Sarah sold 8 small boxes of candy and 5 large boxes of candy for a total of $194.
As x is used for the number of small boxes of candy, we get a term 8x for the selling of 8 small boxes, and as y is used for the number of large boxes of candy, we get a term 5y for the selling of 5 large boxes of candy.
The addition of these terms needs to make up 194, as the total selling amount is 194.
Thus, the equation for Sarah is: 8x + 5y = 194, that is, option A.
Learn more about forming equations at
https://brainly.com/question/18052144
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