Aliyah has 10 more phones than her sister Vivienne. If Vivienne has 40 phones, and the two sisters sell their phones at $400 each, calculate the total amount of money they have together?

The total amount of money that Vivienne gets from selling her phones is 40*400 =

<<40*400=16000>>16000 Since Aliyah has 10 more phones than Vivienne, she has 40+10 = <<10+40=50>>50 phones. When she sells her phones, Aliyah receives 50*$400= $<<50*400=20000>>20000 Together they have $20000+$16000 = $<<20000+16000=36000>>36000 #### 36000 Tom decides to start running 5 days a week to lose weight. He runs 1.5 hours each day. He runs at a speed of 8 mph. How many miles does he run a week? Each day he runs 1.5 * 8 = <<1.5*8=12>>12 miles So he runs 5 * 12 = <<5*12=60>>60 miles in the week #### 60 The battery charge in Mary’s cordless vacuum cleaner lasts ten minutes. It takes her four minutes to vacuum each room in her house. Mary has three bedrooms, a kitchen, and a living room. How many times does Mary need to charge her vacuum cleaner to vacuum her whole house? Mary has 3 + 1 + 1 = <<3+1+1=5>>5 rooms in her house. At 4 minutes a room, it will take her 4 * 5 = <<4*5=20>>20 minutes to vacuum her whole house. At 10 minutes a charge, she will need to charge her vacuum cleaner 20 / 10 = <<20/10=2>>2 times to vacuum her whole house. #### 2 Hannah wanted to make an apple pie that would serve 8 people. She needed 2 pounds of apples that were on sale for $2.00 per pound. The pre-made pie crust cost $2.00. The lemon cost $.50 and the butter cost $1.50. How much did each serving of pie cost? 2 pounds of apples at $2.00/pound would cost 2*2 = $<<2*2=4.00>>4.00 If we add all of the purchases together then the total bill was 4+2+.50+1.50 = $<<4+2+.50+1.50=8.00>>8.00 There are 8 servings per pie. So $8.00/8 servings = $1.00 per serving #### 1 Isabela bought twice as many cucumbers as pencils, with both costing $20 each. If she got a 20% discount on the pencils and bought 100 cucumbers, calculate the total amount she spent to buy the items. Isabela bought twice as many cucumbers as pencils, meaning she bought 100/2 = <<100/2=50>>50 pencils. The total cost for purchasing the pencils without the discount is 50*$20 = $<<50*20=1000>>1000 At a 20% discount, Isabela paid 20/100*$1000 = $<<20/100*1000=200>>200 less. The total amount of money she used to buy the pencils is $1000-$200 = $<<1000-200=800>>800 She also bought the cucumbers at a total cost of $20*100=$<<20*100=2000>>2000 The total cost for the items is $2000+$800= $<<2000+800=2800>>2800 #### 2800 On the island of Castor, there are 40 chess players. A quarter of the island's chess players have never lost to an AI. How many people on the island have lost to a computer, at least once? Chess players that have never lost to an AI is 40/4 = <<40/4=10>>10 people. Chess players that have lost to an AI is 40-10 = <<40-10=30>>30 people. #### 30 Melissa is repairing her shoes. For each shoe, it takes her 5 minutes to replace the buckle and 10 minutes to even out the heel. How many minutes does Melissa spend on this project total? First find the total time Melissa spends per shoe: 5 minutes + 10 minutes = <<5+10=15>>15 minutes Then double that amount because there are 2 shoes: 15 minutes * 2 = <<15*2=30>>30 minutes #### 30 Brayden and Gavin were playing touch football against Cole and Freddy. Touchdowns were worth 7 points. Brayden and Gavin scored 7 touchdowns. Cole and Freddy's team scored 9 touchdowns. How many more points did Cole and Freddy have than Brayden and Gavin? Brayden and Gavin scored 7 touchdowns * 7 points each = <<7*7=49>>49 points. Cole and Freddy scored 9 touchdowns * 7 points each = <<9*7=63>>63 points. Cole and Freddy's team had 63 - 49 points = <<63-49=14>>14 points more than Brayden and Gavin's team. #### 14 Kim drinks a 1.5-quart bottle of water. She then drinks a 12 ounce can of water. How many ounces of water did she drink? The bottle was 1.5*32=<<1.5*32=48>>48 ounces. So she drinks 48+12=<<48+12=60>>60 ounces of water. #### 60 Jerry owes a loan shark $200. The loan shark charges Jerry 10% interest compounded monthly. (This means that every month the loan shark adds Jerry's interest amount to his loan, and the next month Jerry has to pay 10% on the new total). If Jerry doesn't make any payments, how much (in dollars) does the loan shark charge in interest the second month? First calculate how much the loan shark charges in interest the first month by multiplying the loan amount by the interest rate: $200 * 10% = $<<200*10*.01=20>>20 Now add the interest amount to the original amount of the loan to find Jerry's new total: $200 + $20 = $<<200+20=220>>220 Now multiply the new total by 10% to find out how much Jerry owes the loan shark in interest the second month: $220 * 10% = $<<220*10*.01=22>>22 #### 22