Chad buys

Chad buys peanuts in 2-pound bags. He repackages them into bags that hold 5/6 pound off peanuts. How many 2 pound bags of peanuts should Chad buy so that he can fill the 5/6-pound bags without having any peanuts left over?

Correct answer:

x =  5

Step-by-step explanation:

$$\begin{gathered} m_1=2\text{ lb } \\ {m}_2={\displaystyle \frac{5}{6}}\doteq 0.8333\text{ lb } \\ x\cdot m_1=k\cdot m_2 \\ 2x=5\mathrm{/}6\cdot k \\ 12x=5k \\ x=5 \\ k=12 \\ \text{ Verifying Solution: } \\ {M}_1=x\cdot m_1=5\cdot 2=10 \\ {M}_2=k\cdot m_2=12\cdot 0.8333=10 \end{gathered}$$

Try another example

Related math problems and questions:

• Bag of peanuts
  Joe eat 1/3 of a bag of peanuts, mark eat 1/4 of the remaining in the bag of peanuts, Alvin eat 1/2 of the remaining bag of peanuts, peter eat 10 peanuts, there are 71 peanuts left. Hon many peanuts were in the bags?
• Two integers
  Two integers, a and b, have a product of 36. What is the least possible sum of a and b?
• Larry
  Larry received 1/3 pound of candy from his grandmother and 2/5 pound of candy from his best friend. Larry's sister ate 1/2 pound of Larry's candy. How many pounds of candy does Larry have left?
• A large 2
  A large popcorn bag holds four times as much as a small popcorn bag at the end of the party 3 1/3 small bags and 2 1/4 large bags left. How many small bags with the leftover popcorn fill?
• School
  Less than 500 pupils attend school. When it is sorted into pairs, one pupil remains. Similarly, when sorted into 3, 4, 5 and 6 members team one remains. Sorted to seven members teams, no left behind. How many pupils are attending this school?
• Ladislav in Amsterdam
  Laco went (was sent) to a conference in Amsterdam for a reward. The conference fee was € 2536. Calculate how many books Ladislav could buy at the price of 46 and 54 euros if he doesn't want to fill the whole home library, and he can buy only 52 books
• Integer cube
  The length of the cube edge is an integer. Its volume is in cm³ a five-digit number divisible by 1331. What is the length of the edge of this cube.
• Eva
  When Eva buys 8 packages of cookies, 4 CZK left her. If she wanted to buy 10 packages, she would have to borrow 20 CZK. How much money has Eva in her wallet?
• A bucket
  A bucket has 4 liters of water in it when it is 2/5 full. How much can it hold?
• The sponsor
  The school received money from the sponsor. She used one-third to buy computers, half of the rest to adjust the gym. It still has 4000 euros left. How many euros did the sponsor donate to the school?
• Tom has
  Tom has a water tank that holds 5 gallons of water. Tom uses water from a full tank to fill 6 bottles that each hold 16 ounces and a pitcher that holds 1/2 gallon. How many ounces of water are left in the water tank?
• Diofant equation
  In the set of integers (Z) solve the equation: ? Write result with integer parameter ? (parameter t = ...-2,-1,0,1,2,3... if equation has infinitely many solutions)
• The floor
  The floor collapsed because three and a half times the amount it had been designed to hold had been stored in the room. If 980 tons had been stored in the room, what amount was the floor designed to hold?
• Together
  If 8 men, 10 women, 16 children collects ₹1024 in 4 days, how many days will be required for 6 men, 5 women and 4 boys to collect ₹768? (₹ is Indian Rupee)
• Chocolate buyer
  Peter bought 1/2 a pound of chocolate at rocky mountain chocolate factory. Later he went to the sweet shoppie and he bought 6/9 of a pound more chocolate. How much chocolate did he buy that day?
• Candy and boxes
  We have some candy and empty boxes. When we put candies in boxes of ten, there will be 2 candies and 8 empty boxes left. When of eight, there will be 6 candies and 3 boxes left. How many candy and empty boxes left when we put candies in boxes of nine?
• Dividing walnuts into crates
  There are 8 and 2 over 3 pounds of walnuts in a container, which will be divided equally into containers that hold 1 and 1 over 5 pounds. This would fill n and 4 over 18 containers. What is n?