Alvin owns coconut trees that yield 5 coconuts each. If a coconut can be sold for $3 and Alvin needs $90, how many coconut trees does he have to harvest?
Alvin needs to harvest 90/3=
<<90/3=30>>30 coconuts to earn $90. Therefore, the total number of trees that he has to harvest is 30/5= <<30/5=6>>6. #### 6 Janet needs 5 tickets to ride the roller coaster and 3 tickets to ride the giant slide. How many tickets does she need to ride the roller coaster 7 times and the giant slide 4 times? First find how many tickets she needs for the roller coaster: 5 tickets/ride * 7 rides = <<5*7=35>>35 tickets Then find how many tickets she needs for the giant slide: 3 tickets/ride * 4 rides = <<3*4=12>>12 tickets Then add the number of tickets she needs for each ride to find the total number of tickets she needs: 12 tickets + 35 tickets = <<12+35=47>>47 tickets #### 47 Kennedy grew tomatoes from three plants she had in her backyard. The first tomato plant produced two dozen tomatoes. The second plant produced 5 more than half as many tomatoes as the first plant. And the third plant produced two more tomatoes than the second plant. How many tomatoes did the three plants produce? Half as many as the first plant is 24/2=<<24/2=12>>12 tomatoes. But the second plant produced 5 more than half as many tomatoes as the first plant., or a total of 12+5=<<12+5=17>>17 tomatoes. And the third plant produced two more tomatoes than the second plant, or 17+2=<<17+2=19>>19 tomatoes. In total, the three plants produced 24+17+19=<<24+17+19=60>>60 tomatoes. #### 60 The coffee shop sold 8 more than four times the number of lattes as it did teas. If 6 teas were sold how many lattes did the coffee shop sell? Four times the number of teas sold is 4*6=<<4*6=24>>24 24+8=<<24+8=32>>32 lattes were sold #### 32 Bill and Phil are firehouse Dalmatians. Bill has one less than twice as many spots as Phil. If they have 59 spots combined, how many spots does Bill have? If b is the number of spots Bill has and p is the number of spots Phil has, we know that b + p = 59. We also know that b = 2p - 1. We can substitute the second equation into the first equation to get: 2p - 1 + p = 59 Combining like terms, we get 3p - 1= 59 Adding 1 to both sides, we get 3p = 60 Dividing both sides by 3, we get p = 20 Substituting this back into the equation b = 2p - 1, we get b = 2*20 - 1 = 40 - 1 = <<2*20-1=39>>39 #### 39 A vegan restaurant serves three kinds of protein: seitan, beans, and lentils. There are ten dishes on their menu. Two have beans and lentils, and two have beans and seitan. The remaining dishes only have one kind of protein in them. Half of the remaining dishes have only beans, and there are three times as many dishes with only beans as with only seitan. How many dishes include lentils? The vegan restaurant serves 10 - 2 - 2 = <<10-2-2=6>>6 dishes with only one kind of protein. There are 6 / 2 = <<6/2=3>>3 dishes with only beans. There is 3 / 3 = <<3/3=1>>1 dish with only seitan. Thus, there are 6 - 3 - 1 = <<6-3-1=2>>2 dishes with only lentils. There are also 2 dishes with beans and lentils, so there are 2 + 2 = <<2+2=4>>4 dishes that include lentils. #### 4 Ralph is a member of the cross-country relay team. There are four other members on the team who run 3 km to complete their part of the race. Ralph runs twice as much as any member on his team to complete his part of the race. How long is the race? 4 team members each run 3 km, so 4 x 3 = <<4*3=12>>12 km. Ralph runs twice as much as any team member and since team members each run 3 km, Ralph runs 2 x 3 km = <<2*3=6>>6 km. The length of the race is 6 km run by Ralph + 12 km run by the rest of the team = <<6+12=18>>18 km. #### 18 Jenny brought in 40 peanut butter cookies and 50 chocolate chip cookies for the bake sale. Marcus brought in 30 peanut butter cookies and and 20 lemon cookies. If Renee, who's allergic to peanuts, picks a cookie at random, what is the chance she'll have an allergic reaction expressed as a percentage? First find the total number of peanut butter cookies: 40 peanut butter cookies + 30 peanut butter cookies = <<40+30=70>>70 peanut butter cookies Then find the total number of cookies by adding the number of peanut butter cookies to the number of the other two types: 70 peanut butter cookies + 50 chocolate chip cookies + 20 lemon cookies = <<70+50+20=140>>140 cookies Then divide the number of peanut butter cookies by the total number of cookies and multiply by 100% to find the percentage chance of Renee getting a peanut butter cookie: 70 peanut butter cookies / 140 cookies * 100% = 50% #### 50 Jack has a grove with 4 trees by 5 trees. It takes 6 minutes to clean each tree. He gets help to clean the trees so it only takes half as long. How many hours did he spend cleaning trees? There were 4*5=<<4*5=20>>20 trees to clean So it took 20*6=<<20*6=120>>120 minutes That is 120/60=<<120/60=2>>2 hours So he spent 2/2=<<2/2=1>>1 hour cleaning #### 1 Jordan noticed that there are 2 cars in his driveway that each have 4 wheels. There are 2 bikes and a trash can that each have 2 wheels. There is also a tricycle and a pair of old roller skates. How many wheels are there? There are 2 cars with 4 wheels each so that's 2*4 = <<2*4=8>>8 wheels Two bikes and a trash can each have 2 wheels so that's 3*2 = 6 wheels Each roller skate has 4 wheels and there is a pair, which means 2 skates for a total of 4*2 = <<4*2=8>>8 wheels Including the 3 wheels on the tricycle, there are 8 from the car, 6 from bikes and a trashcan and 8 from roller skates for a total of 3+8+6+8 = <<3+8+6+8=25>>25 wheels #### 25