OpenStudy (tennisthegreat123):

Mia is three years older than twice the size of her sistser Brooke's age. The sum of their age is less than 30. What is the greatest age Brooke can be? A. 7 B. 8 c. 10 d. 9

1 year ago
OpenStudy (kiwibyrd):

we need to set up an inequality for this !

1 year ago
OpenStudy (kiwibyrd):

three years older : +3 twice the age : times 2

1 year ago
OpenStudy (kiwibyrd):

so mia's age = brooke's age times 2, plus 3

1 year ago
OpenStudy (kiwibyrd):

and then it has to be less than 30, so your equation would look like this$302b+3$

1 year ago
OpenStudy (kiwibyrd):

ah it messed up, i meant $30\ge 2b+3$

1 year ago
OpenStudy (tennisthegreat123):

Okay! So, we then would divide 2 by both sides?

1 year ago
OpenStudy (kiwibyrd):

yep, treat it like a regular equation and solve for b !

1 year ago
OpenStudy (tennisthegreat123):

So that would equal: 15 greater than or equal to b + 3?

1 year ago
OpenStudy (tennisthegreat123):

If you subtract 3 from both sides, it would equal 12. But 12 isnt an answer?

1 year ago
OpenStudy (kiwibyrd):

i honestly dont know ! in any case we know that the answer is 10 because it still checks out and is the highest answer

1 year ago
OpenStudy (tennisthegreat123):

Okay, thanks!

1 year ago
OpenStudy (kiwibyrd):

ah wait hold that thought

1 year ago
OpenStudy (tennisthegreat123):

oh

1 year ago
OpenStudy (kiwibyrd):

i was just checking, 10 is correct :]

1 year ago
OpenStudy (tennisthegreat123):

Okay! great

1 year ago