Ashley had a birthday party and invited 20 of her friends, telling them to each invite one more person to attend the party. If half the number of the invited guests each came with one more person, what's the total number of people at the party, including Ashley?

How many friends came with one more person? ** If she invited 20 friends, then the number of friends who came with one more person is 1/2*20 =

<<20*1/2=10>>10. How many guests are there? ** If the 10 friends came with 10 more people, the total number of guests becomes 20+10 = 30 guests. How many people are there? ** If you add Ashley, the total number of people in the party is 30+1 = <<30+1=31>>31 people #### 31 In a glee club, there are two times as many female than male members. How many female members are there if there are 18 members in the club? How many groups are there? ** The club has a female group which has twice as many members as the male group, so there are 2+1=<<2+1=3>>3 groups in the club. How many members are there per group? ** There are 18 members in the club, which means there are 18/3 = <<18/3=6>>6 members per group. How many female members are there? ** Since the number of female members consists of two groups, then there are 6 * 2 = <<6*2=12>>12 female members in the club. #### 12 To make a shed in his backyard, Tom needs 1000 bricks. He can buy half of the bricks for 50% off of $.50. The other Half he needs to pay full price. How many dollars does Tom spend? How many bricks can Tom buy for half price? ** Tom can buy 1000/2=<<1000/2=500>>500 for half price. How much will Tom spend on the half-priced bricks? ** He will spend $.50/2= $<<.50/2=.25>>.25 on the half-priced bricks. How much will Tom spend on the half-priced bricks? ** Thus, he will spend 500*$.25=$<<500*.25=125>>125 on the half-priced bricks. How much will Tom spend on the full-priced bricks? ** He will spend 500*$.50=$<<500*.50=250>>250 on the full-priced bricks. How much will Tom spend in total? ** Thus, he will spend $125+$250=$<<125+250=375>>375 total. #### 375 How many apples did two men and three women buy at a certain store if the two men each bought 30 apples, 20 less than the number of apples bought by each woman? How many apples did the two men buy together? ** If the two men each bought 30 apples, together they bought 2*30 = <<2*30=60>>60 apples. How many apples did each woman buy? ** Since the two men each bought 30 apples, 20 less than the total number of apples bought by each woman, each woman bought 20+30 = <<20+30=50>>50 apples. How many apples did the three women buy? ** The total number of apples bought by the women is 3*50 = <<3*50=150>>150 How many apples did the two men and three women buy together? ** Altogether, the two men and three women bought 60+150 = <<60+150=210>>210 apples. #### 210 Brandon has a collection of 20 baseball cards. Malcom has 8 more cards than Brandon. However, then Malcom gives half of his cards to his friend Mark. How many cards does Malcom have left? How many cards does Malcom have? ** Malcom has 20 cards + 8 cards = <<20+8=28>>28 cards. How many cards does Malcom give away? ** Malcom gives away 1/2 * 28 cards = <<1/2*28=14>>14 cards to Mark. How many cards does Malcom have left? ** Malcom has 28-14 cards = <<28-14=14>>14 cards remaining. #### 14 Maia is a freelance blogger working for different clients for whom she writes different articles every day. She gets 6 client requests every day and works on four of them each day. How many client requests will she have remaining to work on after 5 days. How many requests does Maia have remaining after 5 days? ** If she receives 6 job requests every day and works on 4 every day, she remains with 6-4 = <<6-4=2>>2 requests. How many requests will Maia have remaining to work on after 5 days? ** After 5 days, she will be remaining with 5*2 = <<5*2=10>>10 requests which she hasn't worked on. #### 10 John climbs 3 staircases. The first staircase has 20 steps. The next has twice as many steps as the first. The final staircase has 10 fewer steps than the second one. Each step is 0.5 feet. How many feet did he climb? How many steps were in the second flight? ** The second flight had 20*2=<<20*2=40>>40 steps How many steps were in the third flight? ** The third had 40-10=<<40-10=30>>30 steps How many steps did John climb? ** So in total, he climbed 20+40+30=<<20+40+30=90>>90 steps How many feet did he climb? ** So he climbed 90*.5=<<90*.5=45>>45 feet #### 45 Marion received 20 more turtles than Martha at the animal rescue center where they had gone to take part in the animal saving day event. If Martha received 40 turtles, how many turtles did they receive together? How many turtles did Marion receive? ** Since Marion received 20 more turtles than Martha, she had 20+40 = <<20+40=60>>60 turtles. How many turtles did they receive together? ** Together, the two received 60+40 = <<60+40=100>>100 turtles. #### 100 Jim is baking loaves of bread. He has 200g of flour in the cupboard, 100g of flour on the kitchen counter, and 100g in the pantry. If one loaf of bread requires 200g of flour, how many loaves can Jim bake? How many grams of flour does Jim have? ** Altogether, Jim has 200g + 100g + 100g = <<200+100+100=400>>400g of flour. How many loaves of bread can Jim bake? ** He can therefore bake 400g / 200g = <<400/200=2>>2 loaves of bread. #### 2 Lizzie has half as many crayons as Bobbie. Bobbie has three times as many crayons as Billie. If Billie has 18 crayons, how many crayons does Lizzie have? How many crayons does Bobbie have? ** Bobbie has 18 * 3 = <<18*3=54>>54 crayons. How many crayons does Lizzie have? ** Lizzie has 54 / 2 = <<54/2=27>>27 crayons. #### 27