The questions in the first section on a test are worth 3 points and the questions in the second section are worth 5 points. Let x represent the number of correct questions from the first section, and let y represent the number of correct questions from the second section. Sydney earned more than 80 points on the test. The inequality representing her score is 3x + 5y > 80.
If Sydney answered 15 questions in the first section correctly, what is the minimum number of questions she must have answered correctly in the second section?
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OpenStudy (anonymous):
Sydney must have answered at least _______questions correctly in the second section of the test.
OpenStudy (anonymous):
plug in 15 for x and solve for y
OpenStudy (anonymous):
11.8
OpenStudy (anonymous):
nope
OpenStudy (anonymous):
y is a whole number
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OpenStudy (anonymous):
12 ?
OpenStudy (anonymous):
nope
OpenStudy (anonymous):
3(15) + 5y > 80
OpenStudy (anonymous):
45 + 5y > 80
OpenStudy (anonymous):
5y > 35
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OpenStudy (anonymous):
7
OpenStudy (anonymous):
that's right
OpenStudy (anonymous):
then i plug it in to find y
OpenStudy (anonymous):
right ?
OpenStudy (anonymous):
That was this step. 3(15) + 5y > 80. We just solved for y which is 7
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OpenStudy (anonymous):
oh ok thanks i thought i plug it in again
OpenStudy (anonymous):
that's why i was confused but thanks :)
OpenStudy (anonymous):
the answer was 8
OpenStudy (anonymous):
y > 7
OpenStudy (anonymous):
remember > means greater but not equal to
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OpenStudy (anonymous):
so if it's greater and not equal to 7, the minimum must be 8