Hi Jehi,
If you take a quick look at the answers choices, you'll notice that they are relatively small and 'close together', so we can use a bit of 'brute force' to get to the correct answer:
We know that there will be no fewer than 10 total pieces of fruit and no more than 14 total pieces of fruit that will total $6.30, so I'm going to list out the first several multiples of apple prices and banana prices:
Apples:
$0.70
$1.40
$2.10
$2.80
$3.50
$4.20
$4.90
$5.60
Etc.
Bananas:
$0.50
$1.00
$1.50
$2.00
$2.50
$3.00
$4.00
$4.50
Etc.
Now we just have to find a pair of numbers (one from each group) that will total $6.30. It's not too much work to find that $2.80 and $3.50 total $6.30, so the total number of pieces of fruit is 7+4 = 11
Final Answer: [/spoiler]B[/spoiler]
GMAT assassins aren't born, they're made,
Rich