Erica lives near a lake where most locals sell fish as their main source of income, earning $20 per kg of fish. She goes out fishing today and catches twice as many fish as she caught in total in the past four months. If Erica trawled 80 kg of fish in the past four months, not including today, how much money will she have earned in the past four months including today (assuming she sells all her fish)?

In the past four months, not including today, Erica has 80 kg * $20/kg = $

<<80*20=1600>>1600 worth of fish. Today, Erica trawled 80 * 2 = <<80*2=160>>160 kg of fish. Thus today's earnings are 160 kg * $20/kg = $<<160*20=3200>>3200. Her total earnings are $3200 + $1600 = $<<3200+1600=4800>>4800 #### 4800 Jessica wrote a long letter to her aunt and needed to put stamps on it to mail it. She used eight pieces of paper that weigh 1/5 of an ounce each, and her envelope weighs 2/5 of an ounce. She needed one stamp per ounce. How many stamps did Jessica need to mail her letter? Jessica’s papers weigh 8 * 1/5 = 8/5 ounces. The papers in the envelope weigh 8/5 + 2/5 = 10/5 = <<8/5+2/5=2>>2 ounces. Thus, Jessica needs 2 * 1 = <<2*1=2>>2 stamps to mail her letter. #### 2 Tommy's home is worth 25% more than he bought it for. He sells it and buys a new house that costs $500,000. If he had to take a loan for the 75% he can't pay, how much did he buy his first house for? He paid 25% of the new home price because 100 - 75 = <<100-75=25>>25 He paid $125,000 towards the new home because 500,000 x .25 = <<500000*.25=125000>>125,000 Therefore he paid $100,000 for his first home because 125,000 / 1.25 = <<125000/1.25=100000>>100,000 #### 100000 Lola and Dora combined their allowance of $9 each to buy a deck of playing cards for $10, they also bought $2 boxes of stickers and split the boxes evenly. How many packs of stickers did Dora get? Lola and Dora together have $9/person x 2 people = $<<9*2=18>>18 After buying the deck of cards they had $18 - $10 = $<<18-10=8>>8 With 8 dollars they bought $8 / $2/pack = <<8/2=4>>4 packs of stickers Dora received 4 packs / 2 people = <<4/2=2>>2 packs of stickers #### 2 The weights of Christine's two cats are 7 and 10 pounds. What is her dog's weight if its weight is twice the sum of her two cats' weights? The sum of the weights of Christine's two cats is 7 + 10 = <<7+10=17>>17 pounds. Christine's dog weighs 17 x 2 = <<17*2=34>>34 pounds. #### 34 A store transports fresh vegetables in crates and cartons using its delivery truck. One crate of vegetables weighs 4 kilograms and one carton 3 kilograms. How much will a load of 12 crates, and 16 cartons of vegetables weigh? The weight of 12 crates of vegetables is 12 * 4 = <<12*4=48>>48 kilograms. The weight of 16 cartons of vegetables is 16 * 3 = <<16*3=48>>48 kilograms. So the total weight of all crates and cartons is 48 + 48 = <<48+48=96>>96 kilograms. #### 96 Carla has 6 sunflowers and 8 dandelions. The sunflowers have 9 seeds per plant and the dandelions have 12 seeds per plant. What percentage of Carla's seeds come from the dandelions? First calculate the number of seeds from the sunflowers by multiplying the number of sunflowers by the number of seeds per sunflower: 6 sunflowers * 9 seeds/sunflower = <<6*9=54>>54 seeds Next calculate the number of seeds from the dandelions by multiplying the number of dandelions by the number of seeds per dandelion: 8 dandelions * 12 seeds/dandelion = <<8*12=96>>96 seeds Now add the number of seeds from each group of plants to find the total number of seeds: 54 seeds + 96 seeds = <<54+96=150>>150 seeds Now divide the number of dandelion seeds by the total number of seeds and multiply the answer by 100 to find the percentage of seeds that come from the dandelions: 96 seeds / 150 seeds * 100% = 64% #### 64 Mary has a mystery book library. She started with 72 mystery books at the beginning of the year. She joined a book club that sent her 1 book each month of the year. She went to a bookstore halfway through the year and bought 5 more books, then bought 2 books at yard sales later. Her daughter gave her another book for her birthday, and her mother gave her a series of 4 books when Mary visited her. She donated 12 books she didn't want to read again to a charity shop and sold 3 to a used book store. How many books did she have at the end of the year? Mary got 1 * 12 = <<1*12=12>>12 books from the book club. She bought 5 + 2 = <<5+2=7>>7 books. She was given 1 + 4 = <<1+4=5>>5 books. She got rid of 12 + 3 = <<12+3=15>>15 books. Thus, at the end of the year she had 72 + 12 + 7 + 5 - 15 = <<72+12+7+5-15=81>>81 books. #### 81 There are 20 sandcastles on Mark's beach, each with 10 towers. On Jeff's beach, there are three times as many castles as on Mark's beach, each with 5 towers. What is the combined total number of sandcastles and towers on Mark's and Jeff's beaches? The total number of towers at Mark's beach is 20*10 = <<20*10=200>>200 towers. There are 200+20 = <<200+20=220>>220 sandcastles and towers on Mark's beach. Jeff's beach has 3*20 = <<3*20=60>>60 sandcastles, three times as many as the number of sandcastles in Mark's beach. The number of towers in each of the sandcastles on Jeff's beach is 1/2*10 = <<1/2*10=5>>5 Since each sandcastle has 5 towers on Jeff's beach, there are 5*60 = <<5*60=300>>300 towers. In total, on Jeff's beach, there are 300+60 = <<300+60=360>>360 towers and sandcastles. Altogether, 360+220 = <<360+220=580>>580 sandcastles and towers can be found on their beaches. #### 580 Mr. Roper cuts his lawn 15 days a month beginning in April and ending in September. From October to the end of March he cuts his lawn three times a month. What is the average number of times that Mr. Roper cuts his yard per month? For 6 months of the year he cuts his yard 15 days per month so he cuts his yard 6*15 = <<6*15=90>>90 times For the remaining 6 months of the year, he cuts his yard three times a month so he cuts his yard 6*3 = <<6*3=18>>18 times He cuts his yard 90 times for part of the year and 18 times for the rest of the year for a total of 90+18 = <<90+18=108>>108 times There are 12 months in a year and he cuts his yard 108 times so he averages 108/12 = <<108/12=9>>9 times per month #### 9