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

Question

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

kiwibyrd · Answer

we need to set up an inequality for this !

kiwibyrd · Answer

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

kiwibyrd · Answer

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

kiwibyrd · Answer

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

kiwibyrd · Answer

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

tennisthegreat123 · Answer

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

kiwibyrd · Answer

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

tennisthegreat123 · Answer

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

tennisthegreat123 · Answer

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

kiwibyrd · Answer

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

tennisthegreat123 · Answer

Okay, thanks!

kiwibyrd · Answer

ah wait hold that thought

tennisthegreat123 · Answer

oh

kiwibyrd · Answer

i was just checking, 10 is correct :]

tennisthegreat123 · Answer

Okay! great