Final answer:
To find the maximum number of identical stationery sets Lisa can create, we determine the greatest common divisor of 15 and 10, which is 5. Thus, Lisa can make 5 sets with 3 sheets of paper and 2 envelopes each.
Step-by-step explanation:
The question asks to determine the maximum number of identical stationery sets Lisa can make with 15 sheets of paper and 10 envelopes, without any leftovers. To solve this, we need to find the greatest common divisor (GCD) of 15 and 10, which is the largest number that divides both 15 and 10 without leaving a remainder.
We can find the GCD by listing the factors of each number:
Factors of 15: 1, 3, 5, 15Factors of 10: 1, 2, 5, 10
The largest factor that both numbers share is 5. Therefore, Lisa can make a maximum of 5 identical sets, with each set containing 3 sheets of paper (15 ÷ 5) and 2 envelopes (10 ÷ 5).