Randy had $3,000. Smith gave him another $200. Randy then gave Sally $1,200 and kept the rest. What was the value, in dollars, of the rest?
After Smith gave him $200, Randy had 3000+200=
<<3000+200=3200>>3200 dollars. The value of the rest of the money is 3200-1200=<<3200-1200=2000>>2000 dollars. #### 2000 Arlene hiked 24 miles on Saturday, carrying a 60-pound backpack. She is exactly 5 feet tall. She spent 6 hours hiking. The temperature during the day was 60 degrees Fahrenheit. What was Arlene's average hiking pace, in miles per hour? She hiked 24 miles. She spent 6 hours hiking. Her average pace was 24/6=<<24/6=4>>4 mph. #### 4 James paves a new parking lot. It is 400 feet by 500 feet. Only 80% of that is useable for parking. It takes 10 square feet to park a car. How many cars can be parked? The parking lot is 400*500=<<400*500=200000>>200,000 There are 200,000*.8=<<200000*.8=160000>>160,000 square feet of parking space That means he can park 16,0000/10=16000 cars #### 16000 Emma buys 2 containers of milk every school day for lunch. She does not go to school on the weekends. How many containers of milk does she buy in 3 weeks? There are 5 school days in a week: 5 days/week x 2 containers of milk/day = 10 containers of milk every week Finally the number of container for 3 weeks is 3 weeks x 10 containers/week = <<3*10=30>>30 containers #### 30 If 24 out of every 60 individuals like football and out of those that like it, 50% play it, how many people would you expect play football out of a group of 250? If 50% of individuals that like football play it, and there are 24 out of 60 individuals that like it, then 24*50% = 12 out of 60 individuals play it If 12 individuals play it out of 60 individuals then that means only 12/60 = 1/5 or 20% play it If 20% of individuals play football out of a group of 250 people, one would expect 250*20% = <<250*20*.01=50>>50 individuals to play it #### 50 Jacob has half the number of shoes Edward has. Edward has 3 times the number of shoes Brian has. If Brian has 22 pairs of shoes, how many pairs of shoes do they have in total? Edward has 3 * 22 = <<3*22=66>>66 pairs of shoes. Jacob has 66 / 2 = <<66/2=33>>33 pairs of shoes. All of them have 22 + 66 + 33 = <<22+66+33=121>>121 pairs of shoes in total. #### 121 Roberto recently received a 20% raise from his previous salary, which was already 40% higher than his starting salary. If Roberto's starting salary was $80,000, what is his current salary? Roberto has received 2 raises. On his first raise he received a 40% bump, therefore his new salary was $80,000 * 140% = $<<80000*140*.01=112000>>112,000 On his second raise, Roberto received a 20% bump, therefore his current salary is $112,000 * 120% = $<<112000*120*.01=134400>>134,400 #### 134400 Andy harvests all the tomatoes from 18 plants that have 7 tomatoes each. If he dries half the tomatoes and turns a third of the remainder into marinara sauce, how many tomatoes are left? First find the total number of tomatoes harvested: 18 plants * 7 tomatoes/plant = <<18*7=126>>126 tomatoes Then divide that number by 2 to find how many tomatoes are left undried: 126 tomatoes / 2 = <<126/2=63>>63 tomatoes Then divide that number by 3 to find how many tomatoes are turned into sauce: 63 tomatoes / 3 = <<63/3=21>>21 tomatoes Then subtract that number from the number of undried tomatoes to find the remaining number of tomatoes: 63 tomatoes - 21 tomatoes = <<63-21=42>>42 tomatoes #### 42 Jack is on the phone with a scammer who says the IRS will arrest Jack if he doesn't send them the codes from 6 $500 Best Buy gift cards and 9 $200 Walmart gift cards. After sending the codes for 1 Best Buy gift card and 2 Walmart gift cards, Jack wises up and hangs up. How many dollars' worth of gift cards can he still return? First find the number of Best Buy gift cards Jack needs to return: 6 cards - 1 cards = <<6-1=5>>5 cards Then multiply that number by the cost per card to find the total refund Jack gets from Best Buy: 5 cards * $500/card = $<<5*500=2500>>2500 Then find the number of Walmart gift cards Jack needs to return: 9 cards - 2 cards = <<9-2=7>>7 cards Then multiply that number by the cost per card to find the total refund Jack gets from Walmart: 7 cards * $200/card = $<<7*200=1400>>1400 Then add the two refunds to find his total refund amount: $2500 + $1400 = $<<2500+1400=3900>>3900 #### 3900 Luna's monthly food budget is equal to 60% of her house rental budget while her phone bill budget is 10% of her food budget. If the total budget of house rental and food budget is $240, how much is Luna's total monthly budget to pay all those expenses? Let x be Luna's house rental budget. The total budget for house and food rental is represented by the equation x + (60x/100) = 240. The equation becomes 100x + 60x = 24000 after multiplying each term by 100 to get rid of the fraction. By combining like terms, the equation becomes 160x = 24000. Thus, the value of x is 24000/160 = <<24000/160=150>>150 which represents the house rental budget. So, Luna's food budget is $240 - $150 = $<<240-150=90>>90. Her phone bill budget is $90 x 10/100 = $<<90*10/100=9>>9. Therefore, Luna's monthly budget for all those expenses is $240 (house and food) + $9 (phone) = $<<240+9=249>>249. #### 249