Mandy is 3 years old. Her brother is 4 times as old as she is. Her sister is 5 years younger than her brother. What is the age difference between Mandy and her sister?

How old is Mandy's brother? ** Mandy's brother's age is 3 years x 4 =

<<3*4=12>>12 years old. How old is Mandy's sister? ** Her sister's age is 12 years - 5 years = <<12-5=7>>7 years old. What is the age difference between Mandy and her sister? ** The age difference between Mandy and her sister is 7 years - 3 years = <<7-3=4>>4 years. #### 4 Kara has to drink 4 ounces of water every time she takes her medication. Her medication instructions are to take one tablet three times a day. She followed the instructions for one week, but in the second week, she forgot twice on one day. How many ounces of water did she drink with her medication over those two weeks? How many ounces of water does Kara drink with her medication? ** Kara drinks 4 * 3 = <<4*3=12>>12 ounces of water with her medication each day. How many ounces of water does Kara drink with her medication in a week? ** In a week, she drinks 12 * 7 = <<12*7=84>>84 ounces of water with her medication. How many ounces of water does Kara drink with her medication in two weeks? ** In two weeks, she drinks 84 * 2 = <<84*2=168>>168 ounces of water with her medication. How many ounces of water did Kara drink on one day? ** One day, she forgot two tablets, so she did not drink 2 * 4 = <<2*4=8>>8 ounces of water. How many ounces of water did Kara drink with her medication over those two weeks? ** Thus, Kara drank 168 - 8 = <<168-8=160>>160 ounces of water with her medication over two weeks. #### 160 Janelle had 26 green marbles. Then she bought 6 bags of blue marbles. There were 10 marbles in each bag. She created a gift of 6 green marbles and 8 blue marbles and gave it to a friend. How many marbles does Janelle have now? How many blue marbles does Janelle have? ** Janelle has 6 bags * 10 blue marbles = <<6*10=60>>60 marbles. How many marbles does Janelle have now? ** Janelle has a total of 26 green marbles + 60 blue marbles = <<26+60=86>>86 marbles. How many marbles did Janelle give away? ** Janelle gave away a gift of 6 green + 8 blue marbles = <<6+8=14>>14 marbles. How many marbles does Janelle have now? ** Janelle has a final amount of 86 marbles - 14 marbles = <<86-14=72>>72 marbles. #### 72 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)? How much money did Erica make in the past four months? ** In the past four months, not including today, Erica has 80 kg * $20/kg = $<<80*20=1600>>1600 worth of fish. How much fish did Erica catch today? ** Today, Erica trawled 80 * 2 = <<80*2=160>>160 kg of fish. How much money did Erica make today? ** Thus today's earnings are 160 kg * $20/kg = $<<160*20=3200>>3200. How much money did Erica make in the past four months? ** 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? How many ounces are Jessica’s papers? ** Jessica’s papers weigh 8 * 1/5 = 8/5 ounces. How many ounces are in the envelope? ** The papers in the envelope weigh 8/5 + 2/5 = 10/5 = <<8/5+2/5=2>>2 ounces. How many stamps does Jessica need to mail her letter? ** 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? How much did Tommy pay for the new home? ** He paid 25% of the new home price because 100 - 75 = <<100-75=25>>25 How much did Tommy pay for the new home? ** He paid $125,000 towards the new home because 500,000 x .25 = <<500000*.25=125000>>125,000 How much did Tommy pay for his first home? ** 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? How much money do Lola and Dora have together? ** Lola and Dora together have $9/person x 2 people = $<<9*2=18>>18 How much money did Lola and Dora have after buying the deck of cards? ** After buying the deck of cards they had $18 - $10 = $<<18-10=8>>8 How many packs of stickers did Lola and Dora buy? ** With 8 dollars they bought $8 / $2/pack = <<8/2=4>>4 packs of stickers How many packs of stickers did Dora get? ** 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? What is the sum of the weights of Christine's two cats? ** The sum of the weights of Christine's two cats is 7 + 10 = <<7+10=17>>17 pounds. What is Christine's dog's weight? ** 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? How much does a load of 12 crates of vegetables weigh? ** The weight of 12 crates of vegetables is 12 * 4 = <<12*4=48>>48 kilograms. How much does a load of 16 cartons of vegetables weigh? ** The weight of 16 cartons of vegetables is 16 * 3 = <<16*3=48>>48 kilograms. How much does a load of 12 crates, and 16 cartons of vegetables weigh? ** 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? How many seeds are in the sunflards? ** 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 How many seeds are in the dandelions? ** 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 How many seeds are in Carla's garden? ** 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 What percentage of Carla's seeds come from the dandelions? ** 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