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Phoenix [80]
2 years ago
13

On Tuesday, Jennifer will mix Crunchy Grain cereal

SAT
1 answer:
miv72 [106K]2 years ago
5 0

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)☺️)

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