There are 66 goats at a farm and twice as many chickens. If the number of ducks is half of the total of the goats and chickens, and the number of pigs is a third of the number of ducks, how many more goats are there than pigs?
There are 66 x 2 =
<<66*2=132>>132 chickens There are 66 + 132 = <<66+132=198>>198 goats and chickens There are are 198/2 = <<198/2=99>>99 ducks There are 99/3 = <<99/3=33>>33 pigs There are 66 - 33 = <<66-33=33>>33 more goats than pigs #### 33 A clinic administered the covid vaccine to 650 people. 80% of the people were adults. How many of the vaccinated people were children? Since 80% of the people were adults, this means 100% - 80% = 20 % were children. 20% of the people vaccinated were children. The number of children is 20% of 650. 20% = 0.2, so 0.2 * 650 = <<0.2*650=130>>130 children were vaccinated. #### 130 Kim's dad would buy her 2 candy bars a week. She would eat 1 candy bar every 4 weeks, saving the rest. After 16 weeks, how many candy bars did Kim have saved? Kim got 2 candy bars a week for 16 weeks so she got 2*16 = <<2*16=32>>32 candy bars She would only eat 1 candy bar every 4 weeks so in 16 weeks she only ate 16/4 = <<16/4=4>>4 candy bars She saved 32 candy bars and only ate 4 so she still has 32-4 = <<32-4=28>>28 candy bars #### 28 James decides to buy a living room set. The coach cost $2500 and the sectional cost $3500 and everything else has a combined cost of $2000. He gets a 10% discount on everything. How much did he pay? The combined cost of everything was 2500+3500+2000=$<<2500+3500+2000=8000>>8000 So he gets an 8000*.1=$<<8000*.1=800>>800 discount That means he pays 8000-800=$<<8000-800=7200>>7200 #### 7200 During a race transmitted on television, five advertisements were shown, lasting 3 minutes each. One minute of advertising costs $4000. What was the cost of transmitting these advertisements during the race? During the race, there were five ads, lasting 3 minutes each, so in total, they lasted 5 * 3 = <<5*3=15>>15 minutes. So the total cost of these ads was 15 * 4000 = $<<15*4000=60000>>60000. #### 60000 Andy has 4 times as many white socks as he has black socks. If he loses half his white socks, how many more white socks does he still have than black socks if he has 6 black socks? Andy has 6 x 4 = <<6*4=24>>24 white socks. He loses 24/2 = <<24/2=12>>12 white socks. He still has 12 - 6 = <<12-6=6>>6 white socks more than black socks. #### 6 Susan had a bouquet of 3 dozen roses. She gave half to her daughter, and then placed the rest in a vase. The next day, one-third of the flowers in the vase were wilted. After removing the wilted flowers, how many flowers remained in the vase? Susan had a bouquet of 3 dozen roses, which is 3*12=<<3*12=36>>36 flowers. She gave half, 36/2=<<36/2=18>>18, to her daughter. Then she placed her 36-18=<<36-18=18>>18 remaining flowers in a vase. One-third of the 18 flowers in the vase wilted, resulting in 18/3=<<18/3=6>>6 wilted flowers. After removing the wilted flowers, Susan had 18-6=<<18-6=12>>12 flowers remaining in the vase. #### 12 Eddie is 92 years old. His granddaughter Becky is currently four times younger than he is. The mother of Becky - Irene, is two times her age. How old is Irene? Becky is four times younger than Eddie, which means she is 92 / 4 = <<92/4=23>>23 years old. Her mother is two times older than she, so it means Irene is 23 * 2 = <<23*2=46>>46 years old. #### 46 A water tower that serves four neighborhoods around it holds 1200 barrels of water and is filled to the top each week. If one neighborhood uses 150 barrels of water in a week, the second neighborhood uses twice as many barrels of water as the first neighborhood in a week, and the third neighborhood uses one hundred more barrels of water than the second neighborhood in a week, how many barrels are left for the fourth neighborhood? The second neighborhood uses 150 * 2 = <<150*2=300>>300 barrels of water. The third neighborhood uses 300 + 100 = <<300+100=400>>400 barrels of water. The first, second, and third neighborhoods together use 150 + 300 + 400 = <<150+300+400=850>>850 barrels of water. Thus, the fourth neighborhood has 1200 - 850 = <<1200-850=350>>350 barrels of water left for it to use. #### 350 In a math test, Mark scored twice as much as the least score. If the highest score is 98 and the range of the scores is 75, what was Mark's score? The range of scores is the difference between the highest and the least score so 75 = 98 - least score Then the least score = 98-75 = <<98-75=23>>23 Mark scored twice as much as the least score which is 2*23 = <<2*23=46>>46 #### 46