If Lucy would give Linda $5, Lucy would have the same amount of money as Linda. If Lucy originally had $20, how much money did Linda have at the beginning?

How much money does Lucy have after giving Linda $5? ** After giving $5, Lucy has $20 - $5 = $

<<20-5=15>>15 left. How much money did Linda have at the beginning? ** Since Linda has $15 after receiving $5, then she had $15 - $5 = $<<15-5=10>>10 at the beginning. #### 10 Justin has a box that is 12 inches in height. The length of the box is 3 times its height and 4 times its width. What is the volume of the box? How long is the box? ** The length of the box is 3 x the height of 12 inches = <<3*12=36>>36 inches. How wide is the box? ** The width of the box is 36 inches / 4 = <<36/4=9>>9 inches. What is the volume of the box? ** The volume of the box is the height of 12 inches x the length of 36 inches x the width of 9 inches = <<12*36*9=3888>>3,888 cubic inches. #### 3,888 Caleb and Cynthia are filling up their inflatable pool with water using buckets. They fill their buckets at the spigot and carry them to the pool. Caleb can add 7 gallons from his bucket and Cynthia can add 8 gallons from her bucket each trip. It will take 105 gallons to fill the pool. How many trips will it take for Caleb and Cynthia to fill the pool with their buckets? How many gallons do they add each trip? ** Each trip, they add Caleb’s 7 gallons + Cynthia’s 8 gallons = <<7+8=15>>15 gallons. How many trips will it take to fill the pool? ** Since they are adding 15 gallons every trip, to fill the 105-gallon pool, it would take 105 / 15 = <<105/15=7>>7 trips. #### 7 Grace started her own landscaping business. She charges $6 an hour for mowing lawns, $11 for pulling weeds and $9 for putting down mulch. In September she mowed lawns for 63 hours, pulled weeds for 9 hours and put down mulch for 10 hours. How much money did she earn in September? How much did Grace make mowing lawns? ** Grace mowed lawns for 63 hours at $6/hour, so earned 63 * 6 = $<<63*6=378>>378. How much did Grace make pulling weeds? ** Grace pulled weeds for 9 hours at $11/hour, so earned 9 * 11 = $<<9*11=99>>99. How much did Grace make putting down mulch? ** Grace put down mulch for 10 hours at $9/hour, so earned 10 * 9 = $<<10*9=90>>90. How much money did Grace earn in September? ** During September Grace earned $378 + $99 + $90 = $<<378+99+90=567>>567. #### 567 There are six unicorns in the Enchanted Forest. Everywhere a unicorn steps, four flowers spring into bloom. The six unicorns are going to walk all the way across the forest side-by-side, a journey of 9 kilometers. If each unicorn moves 3 meters forward with each step, how many flowers bloom because of this trip? How many meters are in the journey? ** First convert the total length of the journey from kilometers to meters: 9 kilometers * 1000 meters/kilometer = <<9*1000=9000>>9000 meters How many steps are in the journey? ** Then divide this by the length of one step to find the number of steps in the journey: 9000 meters / 3 meters/step = <<9000/3=3000>>3000 steps How many flowers does each unicorn create on the journey? ** Then multiply the number of steps by the number of flowers per step to find how many flowers one unicorn creates on the journey: 3000 steps * 4 flowers/step = <<3000*4=12000>>12000 flowers How many flowers are created by the six unicons? ** Then multiply the number of flowers per unicorn by the number of unicorns to find the total number of flowers created: 12000 flowers/unicorn * 6 unicorns = 72,000 flowers #### 72000 Hannah is making banana bread. She needs to use 3 cups of flour for every cup of banana mush. It takes 4 bananas to make one cup of mush. If Hannah uses 20 bananas, how many cups of flour should she use? How many cups of banana mush does Hannah get? ** First find the number of cups of banana mush Hannah gets: 20 bananas / 4 bananas/cup = <<20/4=5>>5 cups How many cups of flour does Hannah need? ** Then multiply the number of cups of mush by the ratio of flour to mush to find the number of cups of flour: 5 cups mush * 3 cups flour/1 cup mush = <<5*3=15>>15 cups flour #### 15 Rick has 130 cards. He decided to only keep 15 cards and so he gave Miguel some of the cards. Then, he saw 8 friends and decided to give them 12 cards each, and the remaining cards were given equally to his 2 sisters. If each of Rick's sisters got 3 cards, how many cards did Rick give to Miguel? How many cards did Rick have after keeping 15 cards? ** After keeping 15 cards, Rick had 130 cards - 15 cards = 115 cards left. How many cards did Rick give to his friends? ** The total number of cards given by Rick to his 8 friends was 8 friends x 12 cards/friend = <<8*12=96>>96 cards. How many cards did Rick give to his sisters? ** There were 2 sisters x 3 cards/sister = <<2*3=6>>6 cards given to Rick's sisters. How many cards did Rick give to Miguel? ** So, there were 96 cards + 6 cards = <<96+6=102>>102 cards left after Rick gave Miguel some cards. How many cards did Rick give to Miguel? ** Therefore, 115 cards - 102 cards = <<115-102=13>>13 cards were given to Miguel. #### 13 Dean ordered 2 large pizzas that were each cut into 12 slices. His friends Frank and Sammy came over to enjoy some pizza and watch a movie. Dean was hungry and ate half of the Hawaiian pizza. Frank only ate 3 slices of Hawaiian pizza and Sammy ate a third of the cheese pizza. How many total slices were left over? How many slices were on the pizzas? ** 2 pizzas were ordered and had 12 slices each for a total of 2*12 = <<2*12=24>>24 slices How many slices did Dean eat? ** Dean ate 1/2 of a 12 sliced pizza so 12/2 = <<12/2=6>>6 slices were left over How many slices did Sammy eat? ** Sammy ate 1/3 of a 12 sliced pizza so 12/3 = <<12/3=4>>4 slices were left over How many slices were left over? ** Dean ate 6 slices, Sammy ate 4 and Frank had 3 so 6+4+3 = <<6+4+3=13>>13 How many slices were left over? ** They started with 24 slices and 13 slices so 24-13 = <<24-13=11>>11 slices left #### 11 Josh and Anna were both born on August 17th, but in different years. To consolidate celebrations they also got married on August 17 when Josh turned 22. If today they're celebrating 30 years of marriage and their combined age is exactly 5 times what Josh's age was when they married, how old was Anna when they got married? How old is Josh today? ** We know that Josh must be 30 years older than his age when they got married, therefore he is 30 + 22 = <<30+22=52>>52 years old today How old are Josh and Anna today? ** If their current combined age is 5 times the age Josh was when they married (22), then their total combined age is 5 * 22 = <<5*22=110>>110 years How old is Anna today? ** That means that Anna must be 110 - 52 = <<110-52=58>>58 years old today How old was Anna when they got married? ** If they married 30 years ago, Anna must have been 58 - 30 = <<58-30=28>>28 years old when they married #### 28 A club opens up and charges $20 to enter. James buys 2 rounds for his 5 friends. He also buys 6 drinks for himself. Drinks cost $6 each. He decides to eat some food so he orders some fried chicken which costs $14. He leaves a 30% tip on everything he orders. How much did he spend for the night? How many drinks does James buy for his friends? ** He buys 2*5=<<2*5=10>>10 drinks for his friends How many drinks does James order? ** So he orders 10+6=<<10+6=16>>16 total drinks. How much did the drinks cost? ** The cost of the drinks was 16*6=$<<16*6=96>>96 How much did James spend? ** So his order came out to 96+14=$<<96+14=110>>110 How much did James tip? ** The tip came out to 110*.3=$<<110*.3=33>>33 How much did James spend? ** So his order cost 110+33=$<<110+33=143>>143 How much did James spend? ** Adding in the cover charge means it cost 143+20=$<<143+20=163>>163 #### 163