The sign in the hotel elevator reads

“Maximum of 6 people or 1200 lbs.”
Suzanne weighs 80 pounds, her dad
is three times her weight, and her
mom is twice her weight. Her sister
is 40 pounds heavier than Suzanne,
while her brother is 90 pounds
heavier. Can they all ride in the
elevator at the same time?

the answer is 770

The question is

Can they all ride in the elevator at the same time?

How can 770 be the answer to that?

To determine if all of them can ride in the elevator at the same time, we need to calculate their combined weight. Let's find the weights of each family member first:

Suzanne weighs 80 pounds.
Her dad is three times her weight, so he weighs 80 pounds * 3 = 240 pounds.
Her mom is twice her weight, so she weighs 80 pounds * 2 = 160 pounds.
Her sister is 40 pounds heavier than Suzanne, so she weighs 80 pounds + 40 pounds = 120 pounds.
Her brother is 90 pounds heavier than Suzanne, so he weighs 80 pounds + 90 pounds = 170 pounds.

Now, let's calculate the total combined weight by adding up the weights of all family members:

Total combined weight = Suzanne's weight + Dad's weight + Mom's weight + Sister's weight + Brother's weight
Total combined weight = 80 pounds + 240 pounds + 160 pounds + 120 pounds + 170 pounds
Total combined weight = 770 pounds

Since the maximum weight allowed in the elevator is 1200 pounds, and the total combined weight of all family members is 770 pounds, they can all ride in the elevator at the same time because their combined weight is below the maximum weight limit.