Billy is counting the rings in two trees. Weather fluctuations in this area mean that each tree's rings are in groups of two fat rings and four thin rings. If Billy counts 70 ring groups in the first tree and 40 ring groups in the second tree, how much older is the first tree? (Trees grow 1 ring per year.)

How many rings are in a ring group? ** First find the total number of rings in a ring group: 2 rings + 4 rings =

<<2+4=6>>6 rings How many ring groups are in the first tree? ** Then subtract the number of ring groups in the second tree from the number in the first tree to find the difference: 70 groups - 40 groups = <<70-40=30>>30 groups How many rings are in a ring group? ** Then multiply that number by the number of rings in a group to find the difference in the trees' ages: 30 groups * 6 rings/group = <<6*30=180>>180 rings, or 180 years #### 180 A basketball team won 40 games in their last competition. In the next competition, they won 5/8 times as many games as they won in their first competition. In the third competition, they won the same number of games as the sum of the first and second competition winnings. Calculate the total number of wins they had in the three competitions. How many games did the team win in the second season? ** If they won 40 games in the first competition, they won 5/8*40 = <<5/8*40=25>>25 games in their second season. How many games did the team win in the third competition? ** In the third competition, they won games equal to the sum of the games they won in the last two competitions, which is 25+40 = <<25+40=65>>65 games. How many games did the team win in the three competitions? ** Since the total number of games they won in the first two competitions is 65, and they won 65 more in the third competition, they won a total of 65+65 = <<65+65=130>>130 in all competitions. #### 130 At peak season, 6 packs of tuna fish are sold per hour, while in a low season 4 tuna packs are sold per hour. If each tuna pack is sold at $60, How much more money is made in a day during a high season than a low season if the fish are sold for 15 hours? How many packs of tuna fish are sold in a day? ** 6 packs of tuna fish are sold per hour. If the sales are made for 15 hours, the total number of packs sold is 4=6*15 = <<6*15=90>>90 packs. How much money is made in a day during a high season? ** At $60 per pack, during a high season, the total sales in 15 hours are 90*$60 = $<<90*60=5400>>5400 How many packs of tuna fish are sold in a day? ** 4 packs of tuna fish are sold per hour. If the sales are made for 15 hours, the total number of packs sold is 4*15 = <<4*15=60>>60 packs. How much money is made in a day during a low season? ** At $60 per pack, during a low season, the total sales in 15 hours are 60*$60 = $<<60*60=3600>>3600 How much more money is made in a day during a high season than a low season? ** The amount of money that is made after 15 hours during a high season than a low season is $5400-$3600 = $<<5400-3600=1800>>1800 #### 1800 Thomas is making hummus. One of the ingredients in a hummus recipe is chickpeas. For one serving of hummus, the recipe calls for 1 cup of chickpeas. In a can of chickpeas, there are 16 ounces of chickpeas. In one cup of chickpeas, there are 6 ounces. To make 20 servings, how many cans of chickpeas should Thomas buy? How many cups of chickpeas does Thomas need? ** For 20 servings, Thomas needs 20*1 = <<20*1=20>>20 cups of chickpeas. How many ounces of chickpeas does Thomas need? ** To have 20 cups, Thomas needs 20*6 = <<20*6=120>>120 ounces. How many cans of chickpeas does Thomas need? ** 120 ounces/16 ounces = <<120/16=7.5>>7.5 cans of chickpeas. How many cans of chickpeas does Thomas need? ** Since Thomas cannot buy half a can, he needs to buy 8 cans. #### 8 Tom has a job mowing lawns around his neighborhood. Each month he spends $17 on gas and mows 3 lawns, charging $12 per lawn mowed. Last month he also made extra money pulling weeds for $10. How much profit did Tom earn last month? How much does Tom earn each month? ** Tom earns 3 lawns * $12 per lawn = $<<3*12=36>>36 per month. How much did Tom earn last month? ** Tom earned $36 + $10 = $<<36+10=46>>46 last month. How much profit did Tom earn last month? ** Tom's profit last month was $46 - $17 gas money = $<<46-17=29>>29. #### 29 Mary and Jimmy start running from the same spot, but in opposite directions. Mary runs at 5 miles per hour and Jimmy runs at 4 miles per hour. What is the distance between them after 1 hour? How many miles will Mary travel in 1 hour? ** In 1 hour, Mary will have traveled 5 miles/hour * 1 hour = <<5*1=5>>5 miles. How many miles will Jimmy travel in 1 hour? ** In 1 hour, Jimmy will have traveled 4 miles/hour * 1 hour = <<4*1=4>>4 miles. How far apart are Mary and Jimmy after 1 hour? ** Since they are running in opposite directions, the distance between them will be 5 miles + 4 miles = <<5+4=9>>9 miles. #### 9 Ines had $20 in her purse. She bought 3 pounds of peaches, which are $2 per pound at the local farmers’ market. How much did she have left? How much did Ines buy? ** Ines bought 3 pounds of peaches for 3 peaches * $2/peach = $<<3*2=6>>6. How much did Ines have left? ** Ines has $20 - $6 = $<<20-6=14>>14 left. #### 14 Aubrey has a deck of cards with 52 cards in it. She then adds two additional cards to the deck. If she splits the deck evenly among herself and two other players, how many cards does each player have? How many cards are in the deck? ** The deck has 54 cards because 52 + 2 = <<52+2=54>>54 How many players are there? ** There are three players because 1 + 2 = <<1+2=3>>3 How many cards does each player get? ** Each player gets 18 cards because 54 / 3 = <<54/3=18>>18 #### 18 Mitch made 20 macarons. Joshua made 6 more macarons than Mitch but half as many macarons as Miles. Renz made 1 fewer than 3/4 as many macarons as Miles. If they will combine their macarons to give them to the kids on the street, how many kids would receive 2 macarons each? How many macarons did Joshua make? ** Joshua made 20 + 6 = <<20+6=26>>26 macarons. How many macarons did Miles make? ** Miles made 26 x 2 = <<26*2=52>>52 macarons. How many macarons did Miles make? ** Three-fourths of Miles' macarons is 52 x 3/4 = <<52*3/4=39>>39. How many macarons did Renz make? ** So Renz made 39 - 1 = <<39-1=38>>38 macarons. How many macarons did the four of them make? ** The four of them have a total of 20 + 26 + 52 + 38 = <<20+26+52+38=136>>136 macarons combined. How many kids would receive 2 macarons each? ** Thus, 136/2 = <<136/2=68>>68 kids would receive 2 macarons each. #### 68 Carson is going to spend 4 hours at a carnival. The wait for the roller coaster is 30 minutes, the wait for the tilt-a-whirl is 60 minutes, and the wait for the giant slide is 15 minutes. If Carson rides the roller coaster 4 times and the tilt-a-whirl once, how many times can he ride the giant slide? (Wait times include the time actually spent on the ride.) How many minutes does Carson spend at the carnival? ** First figure out how many minutes Carson spends at the carnival by multiplying the number of hours he's there by the number of minutes per hour: 4 hours * 60 minutes/hour = <<4*60=240>>240 minutes How long does Carson spend waiting for the roller coaster? ** Then figure out how long Carson spends waiting for the roller coaster by multiplying the wait time per ride by the number of rides: 4 rides * 30 minutes/ride = <<4*30=120>>120 minutes How much time does Carson have left? ** Now subtract the time Carson spends on the roller coaster and tilt-a-whirl from the total time he spends at the park to find out how much time he has left: 240 minutes - 120 minutes - 60 minutes = <<240-120-60=60>>60 minutes How many times can Carson ride the giant slide? ** Now divide the time Carson has left by the wait time for the giant slide to see how many times he can ride it: 60 minutes / 15 minutes/ride = <<60/15=4>>4 rides #### 4