if 1.5 teens eats 1.5 pizzas in 1.5 hours, how many pizzas can 9 teens eat in 6 hours? How do I do this problem, not just the answer. Thanks
I like doing these questions the following way:
keeping the time constant:
1.5 teens eats 1.5 pizzas in 1.5 hours
3 teens eats 3 pizzas in 1.5 hours
9 teens eats 9 pizzas in 1.5 hours
now keep the teens constant:
9 teens eats 9 pizzas in 1.5 hours
9 teens eats 18 pizzas in 3 hours
9 teens eats 36 pizzas in 6 hours
as can be seen in drwls' answer.
Each teen requires 1.5 hours per pizza, since 1.5 teens eat 1.5 in that time. In six hours, each teen can eat four, assuming that their degree of hunger and stomach capacity remains the same. Nine teens can therefore eat 36.
To solve this problem, we can use proportionality. We know that 1.5 teens can eat 1.5 pizzas in 1.5 hours. We need to find out how many pizzas 9 teens can eat in 6 hours.
Step 1: Determine the rate at which one teen eats pizza
Since 1.5 teens can eat 1.5 pizzas in 1.5 hours, we can infer that one teen eats one pizza in 1.5 hours. We can divide both the number of teens and the number of pizzas by 1.5 to find the rate at which one teen eats pizza. So, one teen can eat one pizza in 1 hour.
Step 2: Determine the rate at which nine teens eat pizza
Since one teen can eat one pizza in 1 hour, we can multiply the number of teens by the rate. Therefore, nine teens can eat nine pizzas in 1 hour.
Step 3: Determine the number of pizzas in 6 hours
Since nine teens can eat nine pizzas in 1 hour, we can multiply the number of pizzas by the number of hours to find the number of pizzas in 6 hours. Therefore, nine teens can eat 9 pizzas * 6 hours = 54 pizzas in 6 hours.
So, the answer is that nine teens can eat 54 pizzas in 6 hours.