Bob and Nina make dog leashes. Bob can make 7 leashes in 2 hours and Nina can make 4 leashes in 1 hour. Enter an equation that can be used to find the number of hours, t, it takes Bob and Nina to make 60 leashes together.

Respuesta :

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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