Kyle can lift 60 more pounds this year, which is 3 times as much as he could lift last year. How many pounds can Kyle lift in all?
Since Kyle can lift 60 more pounds and that is 3 times what he could do before, that means that last year Kyle could lift 60 pounds / 3 =
<<60/3=20>>20 pounds. Kyle can now lift 60 pounds + 20 pounds he could lift last year = <<60+20=80>>80 pounds. #### 80 Bill's take-home salary is $40,000. He pays $2,000 in property taxes, $3,000 in sales taxes, and 10% of his gross salary in income taxes. What is Bill's gross salary? First, figure out how much Bill has before he pays property taxes: $40,000 + $2,000 = $<<40000+2000=42000>>42,000 Then, figure out how much Bill has before he pays sales taxes: $42,000 + $3,000 = $<<42000+3000=45000>>45,000 Next, figure out what percent of his salary Bill keeps after income tax: 100% - 10% = 90% Now we know that .9g = $45,000, where g is Bill's gross salary Now we can divide both sides of the equation by .9 to find that g = $50,000 #### 50000 A papaya tree will grow 2 feet in the first year. In the second year, it will grow 50% more than the first year. In the third year, the tree will grow 50% more than in the second year. In the fourth year, it will grow twice as much as the third year. In the fifth year, it will grow half as much as the fourth year. When the tree is 5 years old, how tall is the tree? In the second year, the tree will grow 2 x 1.5 = <<2*1.5=3>>3 feet. In the third year, it will grow 3 x 1.5 = <<3*1.5=4.5>>4.5 feet. In the fourth year, it will grow 4.5 x 2 = <<4.5*2=9>>9 feet. In the fifth year, it will grow 9 / 2 = <<9/2=4.5>>4.5 feet. When the tree is 5 years old, including the first year's growth, it will be this tall 2 + 3 + 4.5 + 9 + 4.5 = <<2+3+4.5+9+4.5=23>>23 feet. #### 23 Anna wants to plant red and yellow tulips in the shape of a smiley face. She needs 8 red tulips for each eye and 18 red tulips for the smile. If she needs 9 times the number of tulips in the smile to make the yellow background of the face, how many tulips does she need total? First find the total number of tulips in the eyes: 2 eyes * 8 tulips/eye = <<2*8=16>>16 tulips Then find the number of tulips in the background: 18 tulips * 9 = <<18*9=162>>162 tulips Then add the number of tulips in the eyes, smile, and background to find the total number of tulips: 16 tulips + 162 tulips + 18 tulips = <<16+162+18=196>>196 tulips #### 196 Elliott drew a right-angle triangle on his book. It had a base of 4 inches, a height of 3 inches and a certain length of the hypotenuse. What was the length of the perimeter of the triangle that he drew? Since the hypotenuse of a triangle is found by the square root of the base squared plus the height squared. The square of the base of the first triangle is 4*4=<<4*4=16>>16 square inches The square of the height of the first triangle is 3*3=<<3*3=9>>9 square inches. The sum of the squares of the base and the height of the first triangle is 16+9=<<16+9=25>>25 The square root of the sum of the base and the height of the first triangle, which is the hypotenuse of the triangle, is √25=5 inches. Since the perimeter of a triangle is found by adding the sides of the triangle, the base and height of the triangle sum up to 3+4=<<3+4=7>>7 inches If you add the hypotenuse of the triangle the perimeter of the triangle becomes 7+5=<<7+5=12>>12 inches. #### 12 Four adults with 32 teeth went to the dentist for a checkup after realizing they were having severe tooth pain. They were found to have different numbers of damaged teeth, and each person had some teeth removed. The first person had 1/4 of all his teeth removed, and the second person had 3/8 of his teeth removed, the third person had half of his teeth removed, while the last person only had 4 teeth removed. What's the total number of teeth removed at the dental clinic? The first person had 1/4 of all his teeth removed, a total of 1/4*32 = <<1/4*32=8>>8 teeth. The second person had 3/8 of his teeth removed, meaning 3/8*32 = <<3/8*32=12>>12 of his teeth were removed. Together, the first and the second person had 12+8 = <<12+8=20>>20 teeth removed in total. The third person had half of his teeth removed, which were 1/2*32 = <<32/2=16>>16 teeth. The first three people had a total of 20+16 = <<20+16=36>>36 teeth removed from their mouth. The last person only had 4 teeth removed, bringing the total number of teeth removed at the dentist clinic to be 36+4 = <<36+4=40>>40 teeth. #### 40 Mary uses plastic grocery bags that can hold a maximum of twenty pounds. She buys 4 pounds of green beans, 6 pounds milk, and twice the amount of carrots as green beans. How many more pounds of groceries can Mary fit in that bag? First find the total weight of the carrots: 4 pounds * 2 = <<4*2=8>>8 pounds Now add the total weight of each item: 6 pounds + 8 pounds + 4 pounds = <<6+8+4=18>>18 pounds Now subtract the total weight of the groceries from the bag's weight limit: 20 pounds - 18 pounds = <<20-18=2>>2 pounds #### 2 Diego baked 12 cakes for his sister's birthday. Donald also baked 4 cakes, but ate 1 while waiting for the party to start. How many cakes are left? The total number of cakes baked is 12 + 4 = <<12+4=16>>16 cakes. But since Diego ate 1 cake, there are 16 - 1 = <<16-1=15>>15 cakes left. #### 15 Agatha has some money to spend on a new bike. She spends $15 on the frame, and $25 on the front wheel. If she has $20 left to spend on a seat and handlebar tape, how much money, in dollars, did she have at first? Agatha spends 15+25=<<15+25=40>>40 dollars. Agatha had 40+20=<<40+20=60>>60 dollars at first. #### 60 Eric has 4 ninja throwing stars. His friend Chad has twice as many. Then Jeff bought 2 ninja stars from Chad. Jeff now has 6 throwing stars. How many ninja throwing stars do they have altogether? We know Eric has 4 stars and Chad has twice that amount, so Chad has 4 x 2 = 8 stars. Then Chad sells 2 of them to Jeff, so Chad has 8 – 2 = <<8-2=6>>6 stars. Altogether, Eric has 4 + Chad has 6 + Jeff has 6 = <<4+6+6=16>>16 stars. #### 16