Question

The members of a weight loss support group Jess collectively weighed in at 2805 pounds which is 2% heavier than their previous week how much did the group weigh last time?

Answer 1

2750 pounds

Explanation:

From the question, we can deduce that the combined weight of the weight support group is 2805 pounds and this is 2% higher than what they weighed last week.

We are now asked to get their total weight for last week. Since we do not know what they weigh last week, we can represent the weight by y pounds.

Now, we can see that there is an increase here. To compute percentage increase, we have to remove the old from the new, divide by the old and multiply by 100%.

This mathematically means:

(2805 - y)/y * 100 = 2

100(2805 - y) = 2y

280500 - 100y = 2y

102y = 280500

y = 280500/102

y = 2750 pounds

This means they collectively weighed 2750 pounds the previous week