Madeline has 5 boxes with 24 crayons in each. She noticed that 5/8 of the crayons in the 2 boxes were not yet used. In the 2 other boxes, only 2/3 of the crayons were used while the last box was not entirely used. How many unused crayons did Madeline have?

How many crayons are unused in the two boxes? ** Two boxes of crayons have 24 x 5/8 =

<<24*5/8=15>>15 unused crayons from each box. How many crayons are unused in the two boxes? ** So, a total of 15 x 2 = <<15*2=30>>30 unused crayons are in the two boxes. How many crayons are used in the other two boxes? ** For the other 2 boxes, there are 24 x 2/3 = <<24*2/3=16>>16 used crayons from each box. How many crayons are unused in the other two boxes? ** Hence, there are 24 - 16 = <<24-16=8>>8 unused crayons. How many crayons are unused in the other two boxes? ** So, a total of 8 x 2 = <<8*2=16>>16 unused crayons are in the other two boxes. How many unused crayons does Madeline have? ** Therefore, Madeline has a total of 30 + 16 + 24 = <<30+16+24=70>>70 unused crayons. #### 70 Yesterday, David and William were invited to a party. David broke 2 glasses, while his friend William broke 4 times the number of glasses David broke. How many glasses were broken? How many glasses did William break? ** William broke 4 * 2 = <<4*2=8>>8 glasses. How many glasses were broken? ** So, David and William broke 8 + 2 = <<8+2=10>>10 glasses. #### 10 Thor is 13 times older than Captain America. Captain America is 7 times older than Peter Parker, and Ironman is 32 years older than Peter Parker. How old is Ironman if Thor is 1456 years old? How old is Captain America? ** Captain America is 1456/13 = <<1456/13=112>>112 years old How old is Peter Parker? ** Peter Parker is 112/ 7 = <<112/7=16>>16 years old How old is Ironman? ** Ironman is 16 + 32 = <<16+32=48>>48 years old #### 48 Last year Dallas was 3 times the age of his sister Darcy. Darcy is twice as old as Dexter who is 8 right now. How old is Dallas now? How old is Darcy? ** Darcy = 2*Dexter = 2*8 = 16 How old was Darcy last year? ** Last year Darcy was 16 - 1 = <<16-1=15>>15 How old was Dallas last year? ** Dallas was 3 times Darcy last year = 3*15 = <<3*15=45>>45 How old is Dallas now? ** Dallas is a year older now = 45 + 1 = <<45+1=46>>46 How old is Dallas now? ** Dallas is 46 years old now. #### 46 In a section of the forest, there are 100 weasels and 50 rabbits. Three foxes invade this region and hunt the rodents. Each fox catches an average of 4 weasels and 2 rabbits per week. How many rabbits and weasels will be left after 3 weeks? How many weasels do the foxes catch each week? ** 3 foxes catch 4 weasels each every week for a total of 3*4 = <<3*4=12>>12 weasels How many weasels are caught in total? ** 12 weasels are caught every week for 3 weeks for a total of 12*3 = <<12*3=36>>36 weasels How many rabbits do the foxes catch each week? ** 3 foxes catch 2 rabbits each every week for a total of 3*2 = <<3*2=6>>6 rabbits How many rabbits are caught in total? ** 6 rabbits are caught every week for 3 weeks for a total of 6*3 = <<6*3=18>>18 rabbits How many weasels are left? ** There were originally 100 weasels so now there are 100-36 = <<100-36=64>>64 weasels left How many rabbits are left? ** There were originally 50 rabbits so now there are 50-18 = <<50-18=32>>32 rabbits left How many weasels and rabbits are left? ** There are 64+32 = <<64+32=96>>96 weasels and rabbits left #### 96 Apple sold 100 iPhones at their New York store today for an average cost of $1000. They also sold 20 iPads for an average cost of $900 and 80 Apple TVs for an average cost of $200. What was the average cost across all products sold today? How much did Apple sell 100 iPhones for? ** The sales for iPhones were 100 iPhones * $1000 per iPhone on average = $<<100*1000=100000>>100,000 How much did Apple sell 20 iPads for? ** The sales for iPads today were 20 iPads * $900 per iPad = $<<20*900=18000>>18,000 How much did Apple sell 80 Apple TVs for? ** The sales for Apple TV’s today were 80 * $200 = $<<80*200=16000>>16,000 What was the total sales for Apple at their New York store today? ** The total sales for Apple at their New York store today was $100,000 + $18,000 + $16,000 = $<<100000+18000+16000=134000>>134,000 How many products did Apple sell today? ** The total number of products sold was 100 + 20 + 80 = <<100+20+80=200>>200 What was the average cost per product sold? ** The average cost per product sold was $134,000 total sales / 200 total products = $<<134000/200=670>>670 #### 670 Melody planted sunflowers from two different seed packets. She found that the sunflowers from Packet A were 20% taller than the sunflowers from Packet B. If the sunflowers from Packet A were 192 inches tall, how tall were the sunflowers from Packet B? Define a variable ** The height of the sunflowers from Packet A is the same as the height of the sunflowers from Packet B + 20%. If Y represents the height of the sunflowers from Packet B, Y + 0.20Y = the height of sunflowers from Packet A. How tall are the sunflels from Packet A? ** We know the height of the sunflowers from Packet A is 192 inches = Y + 0.20Y or 1.2Y. How tall are the sunflels from Packet B? ** To figure out Y, we would divide both sides of the equation by 1.2, like this: 192 / 1.2 = 1.2Y / 1.2 or 160 = Y. #### 160 Mr. Grey is purchasing gifts for his family. So far he has purchased 3 polo shirts for $26 each; 2 necklaces for $83 each; and 1 computer game for $90. Since Mr. Grey purchased all those using his credit card, he received a $12 rebate. What is the total cost of the gifts after the rebate? How much did Mr. Grey pay for the polo shirts? ** Mr. Grey paid $26/shirt x 3 shirts = $<<26*3=78>>78 on polo shirts. How much did Mr. Grey pay for the necklaces? ** He paid $83/necklace x 2 necklaces = $<<83*2=166>>166 on necklaces. What is the total cost of the gifts? ** So, he paid $78 + $166 + $90 = $<<78+166+90=334>>334 for the gifts. What is the total cost of the gifts after the rebate? ** After the rebate, the total cost of the gifts is now $334 - $12 = $<<334-12=322>>322. #### 322 Mary bought 5 boxes of drinks at $6 each box and 10 boxes of pizzas at $14 each box for her pizza party. She paid $200 for all the items. How much change did she get back? How much did Mary spend on drinks? ** Mary spent 5 x $6 = $<<5*6=30>>30 on drinks. How much did Mary spend on pizzas? ** She spent 10 x $14 = $<<10*14=140>>140 on pizzas. How much did Mary spend in total? ** She spent a total amount of $30 + $140 = $<<30+140=170>>170. How much change did Mary get back? ** Therefore, Mary got a change of $200 - $170 = $<<200-170=30>>30 after paying all the items for her pizza party. #### 30 Herbert is 10 years younger than Kris. If Kris is 24 years old now, how old will Herbert be next year? How old is Herbert now? ** Herbert is 24 - 10 = <<24-10=14>>14 years old now. How old will Herbert be next year? ** Thus, Herbert will be 14 + 1 = <<14+1=15>>15 years old next year. #### 15