Jonah teaches pet-training classes at the Happy Tails doggy daycare. Yesterday, he taught 2 tricks to a group of dogs during a 30-minute class. Jonah decided to create a longer class lasting 75 minutes.If he teaches tricks at the same rate, how many tricks will Jonah teach during the 75-minute class?
Question
Jonah teaches pet-training classes at the Happy Tails doggy daycare. Yesterday, he taught 2 tricks to a group of dogs during a 30-minute class. Jonah decided to create a longer class lasting 75 minutes.If he teaches tricks at the same rate, how many tricks will Jonah teach during the 75-minute class?
Solution
First, we need to determine the rate at which Jonah teaches tricks. In the 30-minute class, he taught 2 tricks. So, his rate is 2 tricks/30 minutes.
Next, we need to apply this rate to the 75-minute class. We set up the proportion as follows:
2 tricks/30 minutes = x tricks/75 minutes
To solve for x, we cross-multiply:
2 tricks * 75 minutes = 30 minutes * x tricks
This simplifies to 150 = 30x
Finally, we divide both sides by 30 to solve for x:
x = 150 / 30
x = 5
So, Jonah will teach 5 tricks during the 75-minute class.
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