Answer:
there are 1/4 cups of Super Grain Cereal in the mixture
Explanation:
Super Grain cereal provides 240 calories per cup. Thus, for s cups of Super Grain cereal, there will be 240s calories
Crunchy Grain cereal provides 210 calories per 3/4 cups. Thus, 210 ÷ 3/4 per cup.
210 ÷ 3/4 = 280 calories, For c cups of Crunchy Grain cereal, there will be 280c calories
Jennifer mixes c cups of Crunchy Grain cereal, having 280 calories and s cups of Super Grain cereal, having 240 calories to get a final 1 cup mixture containing 270 calories, which can be expressed mathematically as:
280c + 240s = 270 ------- eqn(1)
Since, s cups of Super Grain cereal and c cups of Crunchy Grain cereal equals 1 cup, of the final mixture
c + s = 1 ------- eqn(2)
from eqn(2),
c = 1 - s
substitute c = 1 - s into eqn(1)
280(1 - s) + 240s = 270
280 - 280s + 240s = 270
- 40s = 270 - 280
-40s = -10
s = (-10)/(-40)
s = 1/4
Therefore, there are 1/4 cups of Super Grain Cereal in the mixture
Ans B
(Hope this helps can I pls have brainlist (crown)☺️)
The serving made by Jennifer on Tuesday contains 1/4 cup of Super Grain cereal. Thus, option B is correct.
The mathematical expression is given as the representation of the quantities in terms of variables.
The complete question is given in the image attached below.
The serving of 3/4 cup of Crunchy cereal = 210 calories
The serving of x cup of Crunchy cereal = 210/3/4 * x
The serving of x cup of Crunchy cereal = 280x calories
The serving of 1 cup Super Grain cereal = 240 calories
The serving of y cup of Super Grain cereal = 240y calories
The total serving made by Jennifer on Tuesday = 270 calories
280x + 240y = 270 calories
The serving made by Jennifer = 1 cup
x + y = 1 cup
x = 1 - y
Substituting the value of x in the equation of calorie:
280 (1 - y) + 240y = 270
280 - 280y + 240y = 270
280 - 270 = 280y - 240y
y = 1/4
The serving of super grain cereal made by Jennifer on Tuesday was y cup. Thus, super grain cereal in one cup was 1/4. Hence, option B is correct.
Learn more about mathematical expression, here:
https://brainly.com/question/14462529
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