Question

Sarah is packing a bin that will contain hand weights and racquetballs. Each hand weight weighs 2 pounds. The box already contains 6 pounds of racquetballs. The total weight of the racquetballs and hand weights in the box must be less than 30 pounds.

Which statement describes how many hand weights Sarah can pack in the box?

A.Sarah may pack no more than 10 hand weights in the box.

B.She may pack fewer than 12 hand weights.

C.She may pack no less than 10 hand weights.

D.She may pack more than 12 hand weights in the bin.

Answer 1

Hey there!

Assuming x = hand weights
$2x + 6 < 30 \\ 2x < 30 - 6 \\ 2x < 24 \\ x < 12$

Answer is B. She may pack fewer than 12 hand weights.

Hope this helps. - M

Answer 2

no more than 12 hand weights

she already has 6 pounds so keep adding 2 pounds at a time

6 pounds  plus
2  1
2    2
2    3
2    4
2    5
2   6
2    7
2    8
2    9
2    10
2    11
2    12
all of this equal exactly 30 and we added 12 --- two's
( or hand weights )