Six people are planning a five day backpacking trip. The trail they will take is 67 miles long. Everyone 12 and older will carry a 40-pound pack. Everyone younger will carry a 20-pound pack. What is the total weight (in pounds) of the groups backpack? The answer I got is 12 and older 3x40=120 everyone younger 3x20=60. 120+60=180 is this right. This is what they want (1)140 (2) 160 (3)180 (4) 200 (5) not enough information is given
But the problem doesn't tell us how many were 12 and older.
number over 12 ---- x
number under 12 ---- 6-x
total weight = 20x + 40(6-x)
= 20x + 240 - 40x
= 240 - 20x
now we know that x is a whole number from 0 to 6
x --- weight
0 240
1 220
2 200
3 180
4 160
5 140
6 120
All the answers they give are possible, so clearly they did not give us enough information.
notice that the fact it is a 5 day trip and 67 miles is totally irrelevant.
what is the total weight in pounds of group's backpacks
To find the total weight of the group's backpacks, we need to calculate the weight carried by each person and then sum them up. Let's break it down:
We have six people in total. Each person who is 12 years old or older will carry a 40-pound pack, and each person younger than 12 will carry a 20-pound pack.
Let's calculate the weight carried by each group:
For the 12 years and older group:
There are 3 people in this group (assuming from your answer).
So, 3 people x 40 pounds/person = 120 pounds for the 12 years and older group.
For the younger than 12 group:
Again, there are 3 people in this group (assuming from your answer).
So, 3 people x 20 pounds/person = 60 pounds for the younger than 12 group.
Now let's find the total weight by summing up the weights of both groups:
Total weight = (Weight of 12 years and older group) + (Weight of younger than 12 group)
Total weight = 120 pounds + 60 pounds
Total weight = 180 pounds
Therefore, the correct answer is 180 pounds, which corresponds to option (3).