Final answer:
After paying the $10 entry fee, Lamra has $46 left. She can buy 15 whole pastries at $3 each, with $1 remaining. Therefore, the answer is 16 pastries because the extra $1 can cover the cost of one more pastry.
Step-by-step explanation:
Martin's terrific pastry shop charges a $10 entry fee, which must be paid before any pastries can be purchased. Next, each pastry costs $3. Lamra has $56 in total to spend. To find out how many pastries Lamra can purchase, we first need to subtract the entry fee from the total amount she has.
Lamra has $56, so after paying the $10 entry fee, she will have $56 - $10 = $46 left for pastries. Now we divide the remaining amount by the cost per pastry:
$46 ÷ $3 = 15 ⅔ 1
This means Lamra can buy 15 whole pastries with the $1 remaining as change, as she cannot buy a fraction of a pastry. Therefore, the correct answer to the question is:
b) 16 pastries