Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour eachsession. If Allison has already practiced 3 hours this week, how many more sessions remain for her to meetor exceed her weekly practice goal?5) Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make aprofit of no less than $5225, how many bags of dog food does it need to sell?©
Question
Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour eachsession. If Allison has already practiced 3 hours this week, how many more sessions remain for her to meetor exceed her weekly practice goal?5) Pet Supplies makes a profit of 5225, how many bags of dog food does it need to sell?©
Solution
Let's break down each question:
- Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour each session. If Allison has already practiced 3 hours this week, how many more sessions remain for her to meet or exceed her weekly practice goal?
First, we need to find out how many hours Allison still needs to practice to reach her goal. She needs to practice 12 hours per week and has already practiced 3 hours. So, she still needs to practice 12 - 3 = 9 hours.
Each of Allison's practice sessions is 3/4 of an hour. To find out how many sessions she still needs, we divide the total hours she still needs to practice by the length of each session. So, 9 hours ÷ 3/4 hour/session = 12 sessions.
Therefore, Allison needs to have 12 more practice sessions to meet her weekly practice goal.
- Pet Supplies makes a profit of 5225, how many bags of dog food does it need to sell?
To find out how many bags of dog food the store needs to sell, we divide the total profit the store wants to make by the profit per bag. So, 5.50/bag = 950 bags.
Therefore, the store needs to sell 950 bags of dog food to make a profit of no less than $5225.
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