The equation that can be used to find the number of hours, t, it takes Bob and Nina to make 60 leashes together is 7.5 t = 60
Step-by-step explanation:
Bob and Nina make dog leashes
- Bob can make 7 leashes in 2 hours
- Nina can make 4 leashes in 1 hour
We need to write an equation that can be used to find the number of hours, t, it takes Bob and Nina to make 60 leashes together
∵ Bob can make 7 leashes in 2 hours
∴ The rate of Bob = 7 ÷ 2 = 3.5
∴ Bob can do 3.5 leashes per hour
∵ Nina can make 4 leashes in 1 hours
∴ The rate of Nina = 4 ÷ 1 = 4
∴ Nina can do 4 leashes per hour
∵ They will work together for t hours to make 60 leashes
∵ The number of leashes = Bob's rate × t + Nina's rate × t
∵ Bob's rate = 3.5 leashes/hour
∵ Nina's rate = 4 leashes/hour
∵ The number of leashes = 60
∴ 3.5 t + 4 t = 60
- Add like terms in the left hand sides
∴ 7.5 t = 60
∴ The equation is 7.5 t = 60
The equation that can be used to find the number of hours, t, it takes Bob and Nina to make 60 leashes together is 7.5 t = 60
Learn more:
We can learn more about the equations in brainly.com/question/10689103
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