Final answer:
Libby can meet her weekly budget goal by writing 10 poems and 4 short stories, earning a total of $160, which exceeds her $120 target. An alternative is writing 8 poems and 6 short stories for a total of $170, also exceeding the minimum requirement and staying within the 20-item limit.
Step-by-step explanation:
To determine if Libby can meet her weekly budget goal, we need to calculate the total earnings from writing 10 poems and 4 short stories.
Earnings from poems: 10 poems × $10 per poem = $100
Earnings from short stories: 4 short stories × $15 per short story = $60
Total earnings: $100 (poems) + $60 (short stories) = $160
Since Libby needs to earn at least $120 per week and the total earnings from 10 poems and 4 short stories equal $160, she will meet her weekly budget and working conditions because $160 ≥ $120 and the total number of items written is 14, which is less than the 20-item limit.
Another Possible Set of Values
To provide another set of values that will work for Libby, we need to find a combination of poems and short stories that yield at least $120 and are within the 20-item limit.
If Libby writes 8 poems and 6 short stories, her earnings would be:
Earnings from 8 poems: 8 × $10 = $80
Earnings from 6 short stories: 6 × $15 = $90
Total earnings: $80 (poems) + $90 (short stories) = $170
This combination also meets her weekly budget since $170 ≥ $120 and the total number of items written is 14, again below the 20-item limit.