On Tuesday, Jennifer will mix Crunchy Grain cereal
with Super Grain cereal for her breakfast. Super
Grain cereal provides 240 calories per cup. If the total
number of calories in one cup of Jennifer's mixture is
270, how much Super Grain cereal is in one cup of
the mixture?
270, how much super grain cereal is in one cup?
Answers
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.
What is the mathematical expression?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.
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