Last week, a farmer shipped 10 boxes of pomelos which had 240 pomelos in all. This week, the farmer shipped 20 boxes. How many dozens of pomelos did the farmer ship in all?

There were 240/10 =

<<240/10=24>>24 pomelos in a box. This means that each box has 24/12 = <<24/12=2>>2 dozens of pomelos since 1 dozen is equal to 12. The farmer shipped a total of 10 + 20 = <<10+20=30>>30 boxes. Thus, the farmer shipped a total of 30 x 2 = <<30*2=60>>60 dozens of pomelos. #### 60 Tina buys 3 12-packs of soda for a party. Including Tina, 6 people are at the party. Half of the people at the party have 3 sodas each, 2 of the people have 4 and 1 person has 5. How many sodas are left over when the party is over? Tina buys 3 12-packs of soda, for 3*12= <<3*12=36>>36 sodas 6 people attend the party, so half of them is 6/2= <<6/2=3>>3 people Each of those people drinks 3 sodas, so they drink 3*3=<<3*3=9>>9 sodas Two people drink 4 sodas, which means they drink 2*4=<<4*2=8>>8 sodas With one person drinking 5, that brings the total drank to 5+9+8=<<5+9+8=22>>22 sodas As Tina started off with 36 sodas, that means there are 36-22=<<36-22=14>>14 sodas left #### 14 Jodi and Vance are researching on a deserted island and have to stay on the island for a certain number of weeks to carry out their research. On their first expedition, they stayed for three weeks on the island. They spent two weeks more on the second expedition than they spent on their first expedition. They spent twice as many weeks on their last expedition as they spent on their second expedition. Calculate the total number of days they spent on the island on all the trips. If they spent two more weeks on their second research expedition than they spent on the first week, they spent 2+3 = <<2+3=5>>5 weeks on the island. In the two expeditions, they stayed on the island for a total of 5+3 = <<5+3=8>>8 weeks. On their third expedition, they spent twice as many weeks as they spent on the second week on the island, which is 2*5 = <<2*5=10>>10 weeks. In all three expeditions, they stayed on the island for 10+8 = <<10+8=18>>18 weeks. Since a week has seven days, they spent 18*7 = <<18*7=126>>126 days on the island. #### 126 Brittany uses 1/4 ounce of shampoo to wash her hair every other day. She buys shampoo in 14-ounce bottles. How many bottles does she need to get her through a leap year? A leap year is one day shorter than a regular year, so it is 365 – 1 = <<365-1=364>>364 days. Brittany washes her hair every other day, so she will wash it 364 / 2 = <<364/2=182>>182 times in a leap year. A bottle of shampoo lasts her 14 / 1 / 4 = 14 * 4 = 56 washes. If she buys 3 bottles, she will only have enough for 56 * 3 = <<3*56=168>>168 washes. If she buys 4 bottles, she will have enough for 56 * 4 = <<4*56=224>>224 washes. Since 168 < 182 and 224 > 182, Brittany needs 4 bottles of shampoo to get her through a leap year. #### 4 A company is hosting a seminar. So far, 30 attendees from company A have been registered; company B has twice the number of attendees of company A; company C has 10 more attendees than company A; company D has 5 fewer attendees than company C. If a total of 185 attendees have registered, how many attendees who registered are not from either company A, B, C or D? There are 30 x 2 = <<30*2=60>>60 attendees from company B. Company C has 30 + 10 = <<30+10=40>>40 attendees. Company D has 40 - 5 = <<40-5=35>>35 registered attendees. So, the total attendees from company A, B, C, and D is 30 + 60 + 40 + 35 = <<30+60+40+35=165>>165. Therefore there are 185 - 165 = <<185-165=20>>20 attendees that are not from companies A, B, C, or D. #### 20 If I read 4 novels with 200 pages each in a month, how many pages of novels will I read in a year? Since each novel has 200 pages, you read 4*200 = <<4*200=800>>800 pages of novels every month. Since a year has 12 months, you will read 800*12 = <<800*12=9600>>9600 pages in a year. #### 9600 Paul, a biology teacher, assigns 265 points in the first quarter. There are 4 times as many test points as quiz points, and 5 more quiz points than homework points. How many homework points are there in the first quarter? Let x represent the number of homework points Quiz:x+5 Test:4(x+5)=4x+20 Total:x+x+5+4x+20=265 6x+25=265 6x=240 x=<<40=40>>40 points #### 40 Mason is mixing up some salad dressing. He takes a bowl that holds 150 ml and fills it 2/3rds with oil and 1/3rd with vinegar. The oil weighs 5 g/ml and the vinegar weighs 4 g/ml. How many grams does the salad dressing weigh? First find how many ml of oil Mason adds by multiplying the volume of the bowl by the proportion filled with oil: 150 ml * 2/3 = <<150*2/3=100>>100 ml Then repeat the process to find how many ml of vinegar he added: 150 ml * 1/3 = <<150*1/3=50>>50 ml Now find the weight of the oil by multiplying the volume by the weight/volume ratio: 100 ml * 5 g/ml = <<100*5=500>>500 g Do the same procedure with the weight and weight/volume ratio of the vinegar to find its weight: 50 ml * 4 g/ml = <<50*4=200>>200 g Now add the weight of the oil and the vinegar to find the weight of the salad dressing: 500 g + 200 g = <<500+200=700>>700 g #### 700 Juan bought T-shirts for his employees. He bought shirts for men and women. Women's t-shirts are $5 cheaper than men's t-shirts of the same color. His company has 2 sectors, one in white t-shirts and the other in black t-shirts. He paid $20 for white men's t-shirts and $18 for black men's t-shirts. The 2 sectors have the same number of men and women, with a total of 40 employees. How much did he spend total on buying t-shirts? For each type of shirt, he needed to buy, 40 employees / 4 = <<40/4=10>>10 shirts. White men's T-shirts cost $20/shirt * 10 shirts = $<<20*10=200>>200. White women's T-shirts cost $5 less, or ($20/shirt - $5/shirt) * 10 shirts = $15/shirt * 10 shirts = $150. Black men's t-shirts cost, $18/shirt * 10 shirts = $<<18*10=180>>180. Black women's T-shirts cost $ 5 less, so ($18/shirt - $5/shirt) * 10 shirts = $13/shirt * 10 shirts = $<<(18-5)*10=130>>130. Now add up all these quantities to find the total: $200 + $150 + $180 + $130 = $<<200+150+180+130=660>>660. #### 660 A shopkeeper bought 150 packets of milk. Each packet contained 250 ml of milk. If one fluid ounce is equal to 30 ml, how many ounces of milk did he buy? If the shopkeeper bought 150 packets of milk, each packet containing 250ml of milk, all the packets had a total of 250*150 =<<150*250=37500>>37500ml Since one ounce equal 30 ml, the total amount of milk that the shopkeeper bought in oz is 37500/30=<<37500/30=1250>>1250 oz of milk #### 1250