Answer this question:Alexa was on vacation for 3/4ths of the time it took Ethan to learn 12 fencing tricks. Joey spent half as much this time (that Ethan spent learning the tricks) learning to swim. If Alexa spent a week and 2 days on vacation, how many days did it take Joey to learn swimming?
There are 7 days in one week so one week and 2 days = 7 + 2 = 9 days. Call the time Ethan spends learning tricks e. Alexa spent 9 days on vacation which is 3 / 4ths of the time Ethan spent learning 12 fencing tricks, hence (3 / 4)e = 9 days. If we multiply both sides of this equation by 4 / 3, we get e = (4 / 3) * 9 days = 12 days. Joey spent half of 12 days which is 12 / 2 = 6 days to learn swimming.
The answer is 6.

Answer this question:Tom and Devin have been teaching for a total of 70 years. Devin has been teaching for 5 less than half the number of years that Tom has. How many years has Tom been teaching?
Let x be the number of years Tom has been teaching. Devin has been teaching for (1 / 2)x - 5 years. 70 = x + ((1 / 2)x - 5). 70 = (3 / 2)x - 5. 75 = (3 / 2)x. x = 50. Tom has been teaching for 50 years.
The answer is 50.

Answer this question:A milk teas shop was able to sell a total of 50 cups of milk tea yesterday. Two-fifths of their sales are winter melon flavor, three-tenths are Okinawa flavor, and the rest are chocolate flavor. How many cups of chocolate-flavored milk tea were they able to sell yesterday?
A milk tea shop sold 50 x 2 / 5 = 20 cups of winter melon - flavored milk tea. They sold 50 x 3 / 10 = 15 cups of Okinawa - flavored milk tea. So they sold a total of 20 + 15 = 35 cups of winter melon and Okinawa flavors milk tea. Therefore, they sold 50 - 35 = 15 cups of chocolate - flavored milk tea.
The answer is 15.

Answer this question:Yvonne swims 10 laps in 5 minutes. Her younger sister can swim half as many laps as Yvonne in the same time frame. Their brother Joel can swim three times the number of laps as the youngest sister. How many laps can Joel swim?
Yvonne swims 10 laps in 5 minutes and her younger sister swims half as many laps in 5 minutes so she swims 10 / 2 = 5 laps in 5 minutes. Joel can swim 3 times the amount of his youngest sister’s 5 laps so he can swim 3 * 5 = 15 laps in 5 minutes.
The answer is 15.