[Question]Susan is making jewelry with a repeating pattern that has 3 green beads, 5 purple beads, and twice as many red beads as green beads. If the pattern repeats three times per bracelet and 5 times per necklace, how many beads does she need to make 1 bracelets and 10 necklaces?
[Answer]First find the number of red beads per repeat: 3 green * 2 red / green = 6 red. Then add the number of beads of each color to find the total number of bead per repeat: 6 beads + 3 beads + 5 beads = 14 beads. Then multiply the number of beads per repeat by the number of repeats per bracelet to find the number of beads per bracelet: 14 beads / repeat * 3 repeats / bracelet = 42 beads / bracelet. Then multiply the number of beads per repeat by the number of repeats per necklace to find the number of beads per necklace: 14 beads / repeat * 5 repeats / necklace = 70 beads / necklace. Then multiply the number of beads per necklace by the number of necklaces to find the total number of beads used in the necklaces: 70 beads / necklace * 10 necklaces = 700 beads. Then add the number of beads used in a bracelet to the number of beads in the necklaces to find the total number of beads used: 700 beads + 42 beads = 742 beads. The answer is 742.
Q: Jamie is in a walking group with 4 other ladies. The ladies all walk 3 miles together. On top of that, Jamie walks an additional 2 miles per day for 6 days while her friend Sue walks half that amount in 6 days. If they walk this same route 6 days a week, how many miles do the ladies walk in total?
A: There are 5 ladies total in the group. They all walk 3 miles a day for 6 days so 3 * 6 = 18 miles. Jamie walks an additional 2 miles per day for 6 days so 2 * 6 = 12 miles. Sue walks half the distance of Jamie so 12 / 2 = 6 miles. Together, the ladies walk 18 + 12 + 6 = 36 miles. The answer is 36.
Question: Piazzanos Pizzeria has a buy-1-get-1-free special on triple cheese pizzas, and a buy-2-get-1-free special on meat lovers pizzas. If the standard price for a pizza is $5, how much does it cost, in dollars, to purchase 10 triple cheese and 9 meat lovers pizzas using the special pricing?
Answer: Using buy - 1 - get - 1 - free pricing, it costs 1 * $5 = $5 to buy 2 triple cheese pizzas. At $5 per 2 pizzas, it costs $5 / 2 = $2.5 per triple cheese pizza. Using buy - 2 - get - 1 - free pricing, it costs 2 * $5 = $10 to buy 3 meat lovers pizzas. At $10 per three pizzas, it cost $10 / 3 = $3 and $1 / 3 per meat lovers pizza. With the buy - 1 - get - 1 - free pricing, 10 triple cheese pizzas are 10 * $2.5 = $25. With the buy - 2 - get - 1 - free pricing, 9 meat lovers pizzas are 9 * ($3 + $1 / 3) = $30. In total, for 10 triple cheese and 9 meat lovers pizzas, it will cost $25 + $30 = $55. The answer is 55.
[Question]Nissa is calculating a jail sentence for a man who was convicted of burglary. The base sentence is 1 year of jail for every $5,000 of goods stolen. The burglar is going to have his sentence length increased by 25% because this is his third offense, plus 2 additional years for resisting arrest. How many years total is the burglar's sentence if he stole $40,000 worth of goods?
[Answer]First find how many years the base sentence will be: $40,000 / 1 year / $5,000 = 8 years. Then find how long the increase for the third offense is: 8 years * 25% = 2 years. Then add the third - offense increase and the sentence for resisting arrest to the base sentence: 8 years + 2 years + 2 years = 12 years. The answer is 12.
Q: A whole pizza was cut into 8 slices. Angeli and Marlon ate 3/2 slices each. How many slices of pizza are left?
A: Angeli and Marlon ate a total of 3 / 2 x 2 = 3 slices of pizza. Thus, 8 - 3 = 5 slices of pizza are left. The answer is 5.
Question: Rodney, Roger and Ron can lift a combined weight of 239 pounds. Rodney can lift twice as much as Roger, and Roger can lift 7 pounds less than 4 times the amount that Ron can lift. How much can Rodney lift?
Answer:
Let x represent the amount that Ron can lift. Roger: 4x - 7. Rodney:2(4x - 7) = 8x - 14. Total:x + 4x - 7 + 8x - 14 = 239. 13x - 21 = 239. 13x = 260. x = 20. Rodney:8(20) - 14 = 146 pounds. The answer is 146.