Erika and her 3 siblings are drawing with chalk outside. Another 3 friends join them and ask if they can help with the drawing. Erika loses 2 pieces of chalk as they are counting and the group realizes there isn't enough chalk for everyone. Erika’s mom brings out another 12 pieces of chalk for them to share and there is now enough chalk for everyone to have 3 pieces each. How many pieces of chalk did Erika and her siblings originally have?
Altogether, there are 1 Erika + 3 siblings + 3 friends =
<<1+3+3=7>>7 people drawing outside. The group has a total of 7 people * 3 pieces of chalk each = <<7*3=21>>21 pieces of chalk altogether. Before Erika’s mom helped, they had 21 total pieces of chalk - 12 pieces of chalk Erika’s mom brought = <<21-12=9>>9 pieces of chalk. Then adding the chalk that Erika lost shows that the group originally had 9 pieces of chalk + 2 lost pieces of chalk = <<9+2=11>>11 pieces of chalk. #### 11 Diana needs to bike 10 miles to get home. She can bike 3 mph for two hours before she gets tired, and she can bike 1 mph until she gets home. How long will it take Diana to get home? In the first part of her trip, Diana will cover 2 hours * 3 mph = <<2*3=6>>6 miles. In the second part of her trip, Diana will need to cover an additional 10 miles - 6 miles = <<10-6=4>>4 miles. To cover 4 miles * 1 mph = will take Diana <<4*1=4>>4 hours. Total biking time to get home for Diana will be 2 hours + 4 hours = <<2+4=6>>6 hours. #### 6 Salem loves to write poems, and she always stores her poem in a creativity box kept safely in her home library. Last week, she created a poem with 20 stanzas. If each stanza has 10 lines, and each line has 8 words, calculate the total number of words in the poem. If each line that Salem created in her poem has 8 words, the total number of words in a stanza, which is 10 lines, is 8 words/line * 10 lines/stanza = <<8*10=80>>80 words/stanza With 20 stanzas, each containing 80 words per stanza, the total is 80 words/stanza * 20 stanzas = <<80*20=1600>>1600 words in all the stanzas(poem) #### 1600 Lucille is wondering who has the tallest house between her and her neighbors. His family's house is 80 feet tall. One neighbor's house is 70 feet tall. Another neighbor's house is 99 feet tall. How much shorter is Lucille's house than the average height? The houses are 249 feet in total because 70 + 80 + 99 = <<70+80+99=249>>249 The average height is 83 feet because 249 / 3 = <<249/3=83>>83 Her house is 3 feet shorter because 83 - 80 = <<83-80=3>>3 #### 3 At a UFO convention, there are 120 conference attendees. If there are 4 more male attendees than female attendees, how many male attendees are there? Let's assume the number of female attendees is x. The number of male attendees is x+4. The sum of male attendees and female attendees is x+x+4 = 120 2x+4 = 120 2x = 116 The number of female attendees is x=116/2 = <<116/2=58>>58 The number of male attendees is 58+4 = <<58+4=62>>62 #### 62 George wants to borrow $100 from a loan shark. The finance fee starts at 5% and doubles every week. If George plans to borrow for 2 weeks, how much in fees will he have to pay? After the first week, the fee will be $100 * 5% = $<<100*5*.01=5>>5. For the second week, the finance percentage will be 5% * 2 = 10%. George will have to pay a fee of $100 * 10% = $<<100*10*.01=10>>10 for the second week. In total, George will be charged $5 + $10 = $<<5+10=15>>15 in fees. #### 15 Tabitha adds 1 serving of honey per cup of tea in the evening. She usually has 2 cups of tea before bed. She buys her honey in a 16-ounce container. If there are 6 servings of honey per ounce, how many nights will she be able to enjoy honey in her tea before bed? She has 1 serving of honey per cup of tea and she has 2 teas at night so she needs a total of 1*2 = <<1*2=2>>2 servings per night There are 6 servings in 1 ounce and she has a 16-ounce jar of honey so that's 6*16 = <<6*16=96>>96 servings of honey Her jar has 96 servings and she has 2 servings a night so 1 jar will last her 96/2 = <<96/2=48>>48 nights #### 48 A pumpkin patch allows people to come pick pumpkins to carve in the fall every year. They charge $3 per person for a pumpkin. The remaining pumpkins get turned into cans of pie filling, 3 pumpkins to a can. They grew 83 pumpkins this year and made $96 selling pumpkins for carving. How many cans of pie filling will the pumpkin patch produce? The pumpkin patch sold 96 / 3 = <<96/3=32>>32 pumpkins. They have 83 - 32 = <<83-32=51>>51 pumpkins left. Thus, the pumpkin patch will produce 51 / 3 = <<51/3=17>>17 cans of pie filling. #### 17 Tom plants a tree that is 1 year old and 5 feet tall. It gains 3 feet per year. How old is it when it is 23 feet tall? It has grown 23-5=<<23-5=18>>18 feet So it is 18/3=<<18/3=6>>6 years older That means it is 6+1=<<6+1=7>>7 years old #### 7 Macey saves to buy herself a shirt that costs $3. She was able to save $1.50 already. How many weeks does she need to save for the remaining amount if she saves $0.50 per week? Macey needs to save $3 - $1.50 = $<<3-1.5=1.50>>1.50 more for the shirt. So she needs $1.50/$0.50 = <<1.50/0.50=3>>3 more weeks to save for the remaining amount. #### 3