6) Ronnie has two printing machines that print at different rates. Machine A prints 45 shirts every 5 minutes. Machine B prints 35 shirts every 15 minutes If he leaves the two machines printing for 2 hours. How many shirts would be printed by both machines?
6) Ronnie has two printing machines that print at different rates. Machine A prints 45 shirts every 5 minutes. Machine B prints 35 shirts every 15 minutes If he leaves the two machines printing for 2 hours. How many shirts would be printed by both machines?
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:**Example 6:**
**Scenario:**
Ronnie has two printing machines that print at different rates.
**Machine A:**
- Prints 45 shirts every 5 minutes.
**Machine B:**
- Prints 35 shirts every 15 minutes.
**Question:**
If he leaves the two machines printing for 2 hours, how many shirts would be printed by both machines combined?
**Calculation Explanation:**
1. **Convert the time of printing into minutes:**
- 2 hours = 2 × 60 minutes = 120 minutes.
2. **Calculate the total output of each machine over 120 minutes:**
**Machine A:**
- It prints 45 shirts every 5 minutes.
- Number of 5-minute intervals in 120 minutes = 120 / 5 = 24 intervals.
- Total shirts printed by Machine A = 24 intervals × 45 shirts = 1080 shirts.
**Machine B:**
- It prints 35 shirts every 15 minutes.
- Number of 15-minute intervals in 120 minutes = 120 / 15 = 8 intervals.
- Total shirts printed by Machine B = 8 intervals × 35 shirts = 280 shirts.
3. **Add the totals from both machines:**
- Total shirts printed by both machines = 1080 shirts + 280 shirts = 1360 shirts.
**Answer:**
The two machines would print a combined total of **1360 shirts** in 2 hours.
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