Erin buys a bag of peanuts that weighs \(\frac{3}{4}\) of a pound. Later that week, the bag is \(\frac{2}{3}\) full. How much does the bag of peanuts weigh now?
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Answer (3)
Hello,
the bag decreased one third, so its weight decreases the same, so:
4 3 p o u n d − 4 3 p o u n d ∗ 3 1 = 4 3 p o u n d − 4 1 p o u n d = 4 2 p o u n d = 2 1 p o u n d
Answer: it weighs 1/2 pound
The bag of peanuts weighs 2 1 pound.
To determine the current weight of the bag of peanuts, we need to calculate the weight of the remaining peanuts.
Step 1: Calculate the weight of the remaining peanuts.
Given that the bag was initially 3/4 of a pound and is now 2/3 full, we can find the weight of the remaining peanuts by multiplying the initial weight of the bag by the fraction of the bag that is still full.
Weight of remaining peanuts = ( 4 3 pound ) × ( 3 2 )
Weight of remaining peanuts = 4 3 × 3 2 pound
Weight of remaining peanuts = 4 × 3 3 × 2 pound
Weight of remaining peanuts = 12 6 pound
Weight of remaining peanuts = 2 1 pound
The bag of peanuts was initially 3/4 of a pound. As it is now 2/3 full, only 2/3 of the original peanuts remain. By multiplying the initial weight of the bag by the fraction of the bag that is still full, we find that the bag now weighs 2 1 pound. Therefore, the correct answer is that the bag of peanuts now weighs 2 1 pound.
Complete question
Erin buys a bag of peanut that weighs 3/4 of a pound later that week the bag is 2/3 full how much dose the bag of peanuts weigh now ?
The bag of peanuts now weighs 2 1 pound after being 3 2 full. This was calculated by multiplying the original weight of 4 3 pound by 3 2 . Therefore, the final weight is 2 1 pound.
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