you are hiking. the total weigh of your backpack and its contents is 13 3/8 pounds. you want to carry no more than 15 pounds. how many extra water bottles can you add to your backpack if each bottle weighs 3/4 pound?
15-13 3/8= 1 5/8 or 13/8
(13/8)/(3/4)=?
To find out how many extra water bottles you can add to your backpack, first, subtract the weight of your backpack and its contents from the maximum weight you want to carry.
Total weight of your backpack and contents = 13 3/8 pounds
Maximum weight you want to carry = 15 pounds
15 pounds - 13 3/8 pounds = 15 pounds - (13 + 3/8) pounds = 15 pounds - 13 pounds - 3/8 pound = 2 pounds - 3/8 pound
To add the weights, we need to find a common denominator for 2 pounds and 3/8 pound. The common denominator is 8.
2 pounds = 16/8 pounds
3/8 pound remains the same
So, 2 pounds - 3/8 pound = 16/8 pounds - 3/8 pound = 13/8 pounds
Now, we know that you have 13/8 pounds left to use in your backpack.
Next, we need to find out how much each water bottle weighs:
Weight of each water bottle = 3/4 pound
To determine how many water bottles can be added, divide the remaining weight available (13/8 pounds) by the weight of each water bottle (3/4 pound).
(13/8 pounds) ÷ (3/4 pounds) = (13/8 pounds) × (4/3 pounds)
To multiply fractions, multiply the numerators together and the denominators together:
(13 × 4) / (8 × 3) = 52/24
Simplifying the fraction:
52/24 = 26/12 = 13/6
Therefore, you can add 13/6 water bottles to your backpack.