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

Answer 1

we need to set up an inequality for this !

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

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

Answer 11

Okay, thanks!

Answer 12

ah wait hold that thought

Answer 13

oh

Answer 14

i was just checking, 10 is correct :]

Answer 15

Okay! great

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A.

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Answer 30

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