There are 200 snakes in a park. There are three times as many pythons as boa constrictors. If there 40 boa constrictors and the rest of the snakes are rattlesnakes, calculate the total number of rattlesnakes in the park.
How many pythons are there? ** If the number of pythons is three times the number of boa constrictors, then there are 3*40 =
<<3*40=120>>120 pythons How many snakes are there? ** Together, the number of pythons and boa constrictors is 120+40 = <<120+40=160>>160 How many rattlesnakes are there? ** If there are 200 snakes in the park, the number of rattlesnakes is 200-160 = <<200-160=40>>40 #### 40 The ratio representing the age of Halima, Beckham, and Michelle is 4:3:7, respectively. If the total age for the three siblings is 126, calculate the age difference between Halima and Beckham. How many years old are the three siblings? ** The total ratio representing the age of the three siblings is 4+3+7 = <<4+3+7=14>>14 How old is Halima? ** Halima's age is represented by the fraction 4/14, which means she is 4/14*126 = 36 years old. How old is Beckham? ** Beckhams age, from the total age of the three, is 3/14*126 = <<3/14*126=27>>27 How old is the difference between Halima and Beckham? ** The difference in age between Halima and Beckham is 36-27 = <<36-27=9>>9 #### 9 In a store, an Uno Giant Family Card costs $12. When Ivan bought ten pieces, he was given a discount of $2 each. How much did Ivan pay in all? How much does an Uno Giant Family Card cost? ** Instead of $12 each, an Uno Giant Family Card costs $12 - $2 = $<<12-2=10>>10 each. How much did Ivan pay in all? ** Ivan paid $10 x 10 = $<<10*10=100>>100 for the ten pieces Uno Giant Family Card. #### 100 Jack has $45 and 36 euros. If each euro is worth two dollars, how much money does he have total in dollars? How much are the euros worth in dollars? ** First find how much the euros are worth in dollars: 36 euros * $2/euro = $<<36*2=72>>72 How much money does Jack have in total? ** Then add that to the amount Jack has in dollars: $72 + $45 = $<<72+45=117>>117 #### 117 Felix is chopping down trees in his backyard. For every 13 trees he chops down he needs to get his axe resharpened. It cost him $5 to sharpen his axe. If he spends $35 on axe sharpening, at least how many trees has he chopped down? How many times has Felix sharpened his axe? ** He has sharpened in 7 times because 35 / 5 = <<35/5=7>>7 How many trees has Felix chopped down? ** He has chopped down 91 trees because 7 x 13 = <<7*13=91>>91 #### 91 The school band is having a car wash to raise money. Their goal is to collect $150. So far they have earned $10 each from three families and $5 each from 15 families. How much more money do they have to earn to reach their goal? How much money did the school band earn from three families? ** The school band earned $10/family * 3 families = $<<10*3=30>>30 from three families. How much money did the school band earn from 15 families? ** The school band earned $15/family * 5 families = $<<15*5=75>>75 from 15 families. How much money did the school band earn in total? ** The school band earned $30 + $75 = $<<30+75=105>>105 total. How much more money do they have to earn to reach their goal? ** The school band needs $150 - $105 = $<<150-105=45>>45 more to reach their goal. #### 45 Mary and her two friends agreed to evenly pay for the cost of 2 pounds of chicken. Mary's mother went to the grocery and bought the 2-pound chicken, 3 pounds of beef that cost $4 per pound, and a liter of oil that costs $1. If Mary's mother paid a total of $16 for the grocery, how much should Mary and her two friends pay each for the chicken? How much did the beef cost? ** Three pounds of beef cost $4 x 3 = $<<4*3=12>>12. How much did Mary's mother pay for the beef and oil? ** Mary's mother paid $12 + $1 = $<<12+1=13>>13 for the beef and oil. How much did the chicken cost? ** Hence, the 2-pound chicken cost $16 - $13 = $<<16-13=3>>3. How many people will split the cost? ** There are 1 (Mary) + 2 friends = <<1+2=3>>3 people who will split the $3 cost. How much will each of them pay? ** Therefore, each of them will pay $3/3 = $<<3/3=1>>1. #### 1 Jack bought 55 apples. He wants to give 10 to his father and then equally share the remaining apples between him and his 4 friends. How many apples will each of them get? How many apples are remaining after Jack gave his father 10? ** The number of apples remaining after Jack gave his father 10 is 55 - 10 = <<55-10=45>>45. How many apples will each of his friends including him get? ** The share each one of his friends including him will get is 45 / 5 = <<45/5=9>>9. #### 9 Trey is hanging wall decorations around his house. He uses a nail for each of two-thirds of them, a thumbtack for each of two-fifths of the rest, and a sticky strip for each of the other decorations. He used 15 sticky strips. How many nails did Trey use? How many thumbtacks and sticky strips did Trey use? ** Trey used 15 sticky strips for 3/5 of the remaining decorations after using nails, so he used 15 * / 3/5 = 25 thumbtacks and sticky strips How many total decorations did Trey use? ** The 25 decorations were 1/3 of the total decorations, so he used 25 / 1/3 = 75 total decorations How many nails did Trey use? ** The nails were 2/3 of the decorations, so Trey used 75 decorations * 2/3 = <<2/3*75=50>>50 nails #### 50 Aubrie has four cards with the labels W, X, Y, Z printed on them. W is tagged with the number 200, X is tagged with half the number W is tagged with, Y is tagged with the total of X and W's tags and Z is tagged with the number 400. Calculate the total of all the tagged numbers. How many points does the card with the letter X have? ** If the card with the letter X has half the number the card with letter W has, it has 1/2*200= 100 How many points do cards with letters W and X have? ** Together, cards with letters W and X have tags that total 100+200 = <<100+200=300>>300. How many points do cards with letters W, X, and Y have? ** If the card with the letter Y has the total of the numbers cards with letters, W and X have, then the total for cards with letters W, X, and Y is 300+300 = 600 How many points do cards with letters W, X, and Y have? ** Since the card with the letter Z has a tag of 200, the total of the numbers the tags have is 600+400= 1000 #### 1000