Mary has 5 green crayons and 8 blue crayons of different shades. If she gives out 3 green crayons and 1 blue crayon to Becky, how many crayons does she have left?
How many crayons did Mary have to start with? ** She had 5+8 =
<<5+8=13>>13 crayons to start with How many crayons did Mary give out? ** She gave out 3+1 = <<3+1=4>>4 crayons to Becky How many crayons does Mary have left? ** She will have 13-4 = <<13-4=9>>9 crayons left #### 9 Winwin won $50 in a lottery. She paid 20% for the tax and she paid $5 for the processing fee. How much was she able to take home? How much did Winwin pay for the tax? ** Winwin paid $50 x 20/100 = $<<50*20/100=10>>10 for the tax. How much did Winwin have after paying the tax? ** So, she has $50 - $10 = <<50-10=40>>40 after paying the tax. How much was Winwin able to take home? ** Therefore, Winwin was able to take home $40 - $5 = $<<40-5=35>>35 after she paid for the processing fee. #### 35 In 3 years, Jayden will be half of Ernesto's age. If Ernesto is 11 years old, how many years old is Jayden now? How old will Ernesto be in 3 years? ** Ernesto = 11 + 3 = <<11+3=14>>14 How old will Jayden be in 3 years? ** Jayden = 14/2 = <<14/2=7>>7 in 3 years How old is Jayden now? ** Now = 7 - 3 = <<7-3=4>>4 How old is Jayden now? ** Jayden is 4 years old. #### 4 Angela is a bike messenger in New York. She needs to deliver 8 times as many packages as meals. If she needs to deliver 27 meals and packages combined, how many meals does she deliver? Define a variable ** Let p be the number of packages Angela delivers and m be the number of meals. We know that p + m = 27 and p = 8m. Write an equation ** Substituting the second equation into the first equation, we get 8m + m = 27 Combine like terms ** Combining like terms, we get 9m = 27 Divide by 9 ** Dividing both sides by 9, we get m = 3 #### 3 Keiko sent 111 text messages last week. This week she sent 50 less than double what she sent last week. How many text messages did Keiko send last week and this week combined? How many text messages did Keiko send last week? ** Last week = 111 texts How many text messages did Keiko send this week? ** This week = (2 * 111) - 50 = <<(2*111)-50=172>>172 texts How many text messages did Keiko send in total? ** 111 + 172 = <<111+172=283>>283 texts How many text messages did Keiko send last week and this week combined? ** Keiko sent 283 texts last week and this week combined. #### 283 A one-year subscription to a newspaper is offered with a 45% discount. How much does the discounted subscription cost if a subscription normally costs $80? How much does a subscription normally cost? ** We calculate first the discount: 80 * 45 / 100 = $<<80*45/100=36>>36 How much does a discounted subscription cost? ** So, the discounted subscription amounts to 80 – 36 = $<<80-36=44>>44 #### 44 Tim's cat bit him. He decided to get himself and the cat checked out. His doctor's visits $300 and insurance covered 75%. His cat's visit cost $120 and his pet insurance covered $60. How much did he pay? How much did Tim's insurance cover? ** The insurance covers 300*.75=$<<300*.75=225>>225 How much did Tim have to pay? ** So he had to pay 300-225=$<<300-225=75>>75 How much did Tim's cat's visit cost? ** The cats visit cost 120-60=$<<120-60=60>>60 How much did Tim pay in total? ** So in total he paid 75+60=$<<75+60=135>>135 #### 135 Ariella has $200 more in her son's saving account than Daniella has in her son's savings account. Ariella's account earns her simple interest at the rate of 10% per annum. If Daniella has $400, how much money will Arialla have after two years? How much money does Ariella have? ** If Ariella has $200 more in her son's saving account than Daniella has, then she has $400 + $200 = $600 How much does Ariella's savings account increase by in the first year? ** If she earns an interest of 10% in the first year, her savings account increases by 10/100 * $600 = $<<10/100*600=60>>60 How much does Ariella's savings account increase by in the second year? ** In the second year, she earns the same amount of interest, which $60 + $60 = $<<60+60=120>>120 How much money will Ariella have after two years? ** The total amount of money in Ariella's account after two years is $600 + $120 = $<<600+120=720>>720 #### 720 Colby harvested his mango trees, the total mangoes he harvested is 60 kilograms. He sold 20 kilograms to the market and sold the remaining half to his community. If each kilogram contains 8 mangoes, how many mangoes does he still have? How many kilograms of mangoes does Colby have left after selling them to the market? ** He has 60-20= <<60-20=40>>40 kilograms of mangoes left after selling them to the market. How many kilograms of mangoes did Colby sell to the community? ** Colby sold 1/2 x 40 = <<1/2*40=20>>20 kilograms of mangoes to the community. How many pieces of mangoes does Colby still have? ** Therefore, Colby still has 20x8= <<20*8=160>>160 pieces of mangoes. #### 160 George bought some food for his trip: a bottle of juice, a sandwich, and a bottle of milk. The sandwich was for $4, and the juice was two times more expensive. The bottle of milk cost was 75% of the total cost of the sandwich and juice. How much did George pay for his food? How much did the juice cost? ** The juice was two times more expensive than the sandwich, so it was 4 * 2 = $<<2*4=8>>8. How much did the juice and sandwich cost in total? ** The juice and the sandwich in total were a cost of 4 + 8 = $<<4+8=12>>12. How much did the bottle of milk cost? ** So the cost of one bottle of milk was 75/100 * 12 = $<<75/100*12=9>>9. How much did George pay for his food? ** In total for all the food, George paid 12 + 9 = $<<12+9=21>>21. #### 21