Kenneth spent 10% of this earnings this week on a new joystick. If he is left with $405, how much were his earnings?

Since Kenneth spent 10%, then he is left with 100% - 10% = 90% of his earnings.

Since 90% of his earnings is worth $405, then 1% of his earnings is $405/90 = $

<<405/90=4.50>>4.50. Hence, Kenneth's earnings is $4.50 x 100 = $<<450=450>>450. #### 450 Eric has a chicken farm with 4 chickens. His chickens lay 3 eggs each day. If Eric collects all the eggs after 3 days, then how many eggs will Eric have collected? Each chicken lays 3 eggs per day and there are 4 chickens 3 * 4 = <<3*4=12>>12 He will collect all the eggs after 3 days 12 * 3 = <<12*3=36>>36 #### 36 Derrick measures the length of his yard. The length of Alex's yard is half the size of Derrick's and the length of Brianne's yard is 6 times the size of Alex's. If Brianne's yard is 30 yards long, how long is Derrick's yard, in yards? The length of Alex's yard is 30/6=<<30/6=5>>5 yards. The length of Derrick's yard is 5*2=<<5*2=10>>10 yards. #### 10 Bill composes 20 total math questions for money. Ryan composes twice as many problems as Bill, and Frank composes 3 times as many as Ryan. Assuming each person has to compose 4 different types of math problems in equal proportion out of the total amount, how many problems of each type does Frank compose? Since Ryan composes twice as many problems as Bill's total of 20, this means Ryan composes 20*2=<<20*2=40>>40 problems Frank composes 3 times as many as Ryan does, so this means Frank composes 40*3=<<40*3=120>>120 problems. Since Frank needs to submit 4 types of problems in equal proportion out of his total, this means he needs to make 120/4= <<120/4=30>>30 problems of each type. #### 30 Yvonne swims 10 laps in 5 minutes. Her younger sister can swim half as many laps as Yvonne in the same time frame. Their brother Joel can swim three times the number of laps as the youngest sister. How many laps can Joel swim? Yvonne swims 10 laps in 5 minutes and her younger sister swims half as many laps in 5 minutes so she swims 10/2 = <<10/2=5>>5 laps in 5 minutes Joel can swim 3 times the amount of his youngest sister’s 5 laps so he can swim 3*5 = <<3*5=15>>15 laps in 5 minutes #### 15 The journey from Abel's house to Alice's house is 35 miles and is divided into 5 equal portions. Abel is driving at a speed of 40 miles per hour. After traveling for 0.7 hours, how many portions of the journey has he covered? 35 miles into 5 equal portions will be 35/5 = <<35/5=7>>7 miles each Abel traveled at a speed of 40 miles per hour for 0.7 hours so he will cover 40*0.7 = <<40*0.7=28>>28 miles 7 miles make a portion so 28 miles is equivalent to 28/7 = <<28/7=4>>4 portions #### 4 Brad wanted to set up a lemonade stand to earn some money. Every gallon of lemonade would yield 16 glasses. He figured it would cost him $3.50 to make every gallon of lemonade. He made 2 gallons to sell and decided he would sell each glass for $1.00 He drank 5 glasses while sitting in his stand. He sold all but 6 glasses of lemonade. How much net profit did Brad earn? He made 2 gallons and each gallon had 16 glasses so 2*16 = <<2*16=32>>32 glasses He drank 5 glasses and had 6 left over which means he would not earn money on 5+6 = <<5+6=11>>11 glasses The total revenue would come from 32-11 = <<32-11=21>>21 glasses Each gallon cost $3.50 to make so the total cost was 2*3.50 = $<<2*3.50=7.00>>7.00 He sold 21 glasses at $1.00 per glass for a total of 1*21 = $<<21*1=21.00>>21.00 When you take his earnings of $21.00 and subtract the cost of $7.00 his total net profit was 21-7 = $<<21-7=14.00>>14.00 #### 14 John has 2 umbrellas in his house and 1 in the car. If they cost $8 each, how much did he pay in total? He has 2+1=<<2+1=3>>3 umbrellas That means he paid 3*8=$<<3*8=24>>24 #### 24 Harper has 15 rubber bands. His brother has 6 fewer rubber bands than he has. How many rubber bands do they have together? His brother has 15 rubber bands - 6 rubber bands = <<15-6=9>>9 rubber bands. They have 15 rubber bands + 9 rubber bands = <<15+9=24>>24 rubber bands together. #### 24 Nori had 4 boxes of crayons with 8 crayons in each box. She gave 5 crayons to Mae and also give some crayons to Lea. How many more crayons did she give to Lea than Mae if she has only 15 crayons left? From the 4 boxes, Nori had 8 * 4 = <<8*4=32>>32 crayons After giving 5 crayons to Mae, she had 32 - 5 = <<32-5=27>>27 crayons left. If she only has 15 crayons now, this means she gave Lea 27 - 15 = <<27-15=12>>12 crayons. Hence, Lea has 12 - 5 = <<12-5=7>>7 more crayons than Mae. #### 7