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Mathematics 11 Online
OpenStudy (anonymous):

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?

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

OpenStudy (anonymous):

12 ?

OpenStudy (anonymous):

nope

OpenStudy (anonymous):

3(15) + 5y > 80

OpenStudy (anonymous):

45 + 5y > 80

OpenStudy (anonymous):

5y > 35

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

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

OpenStudy (anonymous):

so if it's greater and not equal to 7, the minimum must be 8

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