A desert has 3/5 fewer palm trees than a nearby forest, which has 5000 palm trees. How many palm trees are there in both the desert and the forest combined?

The desert has 3/5 fewer palm trees than the forest, and since the forest has 5000 palm trees, the desert has 3/5*5000 =

<<3/5*5000=3000>>3000 fewer palm trees. The total number of palm trees in the desert is 5000-3000 = <<5000-3000=2000>>2000 Together, the desert and the forest have a total of 5000+2000 = <<5000+2000=7000>>7000 palm trees. #### 7000 Chris wants to hold his breath underwater for 90 straight seconds so he starts training each day. On the first day, he holds it for 10 seconds. On the second day, he holds it for 20 seconds. On the third day, he holds it for 30 seconds. After realizing that he can hold it for ten extra seconds each day, he realizes he can calculate how many days it is until he reaches 90 if he keeps up the same pace. So how many days until he can hold his breath for 90 seconds? He still has to improve by 60 more seconds because 90 - 30 = <<90-30=60>>60 This will take 6 days because 60 / 10 = <<60/10=6>>6 #### 6 Melissa bought 4 packs of tennis balls for $24 in total. Each pack contains 3 balls per pack. How much did it cost Melissa for each tennis ball? There are 4 packs of tennis balls while each pack has 3 balls. 4 * 3 = <<4*3=12>>12 balls Melissa spent a total of $24 for a total of 12 balls. $24 / 12 = $<<24/12=2>>2 per ball #### 2 A father is building a playset for his son and needs to purchase lumber, nails, and fabric. When he started planning the project, the necessary lumber cost $450, the nails cost $30, and the fabric cost $80. However, recent economic inflation has caused the price of lumber to increase by 20%, the price of nails to increase by 10%, and the price of fabric to increase by 5%. In dollars, how much more money will it cost to complete the project now (after inflation) than it would have when the father began planning? First, the initial, pre-inflation, cost of the project was 450 + 30 + 80 = $<<450+30+80=560>>560. Then, the price of the lumber increased to 450*1.20 = $<<450*1.20=540>>540. Similarly, the price of the nails increased to 30*1.10 = $<<30*1.10=33>>33. And the price of the fabric increased to 80*1.05 = $<<80*1.05=84>>84. Therefore, the new, post-inflation, cost of the project is 540 + 33 + 84 = $<<540+33+84=657>>657. Thus, the cost has increased by 657 - 560 = $<<657-560=97>>97. #### 97 If Pam is currently twice as young as Rena is, and in 10 years Rena will be 5 years older than her, how old is Pam now? If Rena will be 5 years older than Pam in 10 years, this means they have a 5 year age gap. Therefore, to be twice Pam's age, Rena would have to be 5*2=<<5*2=10>>10 years old. This means that Pam is currently 10-5= <<10-5=5>>5 years old. #### 5 When Matty was born, the cost of a ticket to Mars was $1,000,000. The cost is halved every 10 years. How much will a ticket cost when Matty is 30? First find the total number of times the cost is halved: 30 years / 10 years/halving = 3 halvings Then halve the cost once: $1,000,000 / 2 = $<<1000000/2=500000>>500,000 Then halve the cost a second time: $500,000 / 2 = $<<500000/2=250000>>250,000 Then halve the cost a third time: $250,000 / 2 = $<<250000/2=125000>>125,000 #### 125000 The total number of whales in the sea this year is double what it was last year. If the World Animals Organization predicts that there will be 800 more whales in the sea next year, and the number of whales in the sea last year was 4000, calculate the total number of whales in the sea next year if the predictions are accurate. If there were 4000 whales in the sea three years ago, and their number doubled this year, then there are 2*4000 = <<4000*2=8000>>8000 whales in the sea this year. If the predictions come true, there will be 8000+800 = <<8000+800=8800>>8800 whales in the water next year. #### 8800 Jasmine gets off of work at 4:00 pm. After that, it will take her 30 minutes to commute home, 30 minutes to grocery shop, 10 minutes to pick up the dry cleaning, 20 minutes to pick up the dog from the groomers and 90 minutes to cook dinner when she returns home. What time will she eat dinner? Her errands include a 30 min commute and 30 min grocery shopping, 10 min for dry cleaning and 20 min to grab the dog for a total of 30+30+10+20 = <<30+30+10+20=90>>90 minutes Her errands took 90 minutes and she has another 90 minutes of cooking for a total of 90+90 = <<90+90=180>>180 minutes of chores/errands 60 minutes are in 1 hour and she has 180 minutes of work so that's 180/60 = <<180/60=3>>3 hours She is off of work at 4:00 pm and has 3 hours of errands/chores so she won't be able to eat until 4+3 = 7:00 pm #### 7 Mary just arrived at the beach. She has 4 times as many towels as Frances does. The total weight of their towels is 60 pounds. If Mary has 24 towels, how much do Frances's towels weigh in ounces? Frances has 24/4 = <<24/4=6>>6 towels. They have 24+6=<<24+6=30>>30 towels. Each towel weighs 60/30=<<60/30=2>>2 pounds. Frances’s towels weigh a total of 2*4 = <<2*4=8>>8 pounds Frances’s towels weigh a total of 8*16 = <<8*16=128>>128 ounces #### 128 When doing her exercises, Mairead runs for 40 miles, walks for 3/5 times as many miles as she ran, and walks for five times the number of miles she jogged. Calculate the total distance Mairead has covered while doing her exercises. Since the distance that Mairead jogged is 3/5 times the miles she ran, she jogged for 3/5*40 = <<3/5*40=24>>24 miles. The total distance that she covered while running and jogging is 24+40 = <<24+40=64>>64 She also walked for 5*24 = <<5*24=120>>120 miles for her exercise. She covered 120+64 = <<120+64=184>>184 miles while doing her exercise. #### 184