Elisa and her two friends went out to dinner. Each of them ordered a meal worth $10. Afterwards, they each had a scoop of the same kind of ice cream. If the $45 Elisa had was enough to pay for everything, what was the cost of a scoop of ice cream?

The three friends had meals worth 10 * 3 =

<<10*3=30>>30 dollars If they paid for the meals only, they would have remained with 45 - 30 = <<45-30=15>>15 dollars. Dividing the remaining amount by the number of ice cream scoops gives 15/3 = <<15/3=5>>5 dollars. Each scoop of ice cream cost 5 dollars #### 5 The teacher assigned a minimum of 25 pages of reading for homework. Harrison read 10 more pages than assigned. Pam read 15 more pages than Harrison and Sam read twice the amount of Pam. How many pages did Sam read? Harrison read 10 more than the assigned 25 pages so he read 10+25 = <<10+25=35>>35 pages Pam read 15 more pages than Harrison's 35 pages so she read 15+35 = <<15+35=50>>50 pages Sam read twice the amount of Pam's 50 pages so he read 2*50 = <<50*2=100>>100 pages #### 100 Frank spent 1/5 of his money to buy groceries. He then spent 1/4 of the remaining money to buy a magazine. If he had $360 left in his wallet, how much money did he have at first? Let X be the money Frank had originally. Frank spent 1/5*X on groceries. Frank spent 1/4*(X-1/5*X) on a magazine. Frank has X - 1/5*X - 1/4*(X-1/5*X) = $360 left in his wallet. Multiplying through the parentheses, we get X - 1/5*X - 1/4*X + 1/20*X = $360. Combining like terms, we get 12/20*X = $360. Dividing both sides by 12/20, we get X = $600. #### 600 The rim of a standard basketball hoop is 10 feet above the ground. Additionally, most experts will say that a player must be able to reach at least 6 inches above the rim to dunk a basketball. Suppose a basketball player is 6 feet tall and can reach 22 inches above their head using the wingspan of their arms. How high must this player be able to jump to reach 6 inches above the rim to dunk a basketball? In inches, the height of the rim is 10*12 = <<10*12=120>>120 inches. Thus, the height that the player needs to be able to reach is 120 + 6 = <<120+6=126>>126 inches. Without jumping, the player can reach their height plus an additional 22 inches, or a total of 6*12 + 22 = <<6*12+22=94>>94 inches. Therefore, the player needs to jump 126 - 94 = <<126-94=32>>32 inches to reach the height required to dunk a basketball. #### 32 Toby held a garage sale to raise money to support friends who have lost their jobs. Of all the items that he sold during the garage sale, three of the items he sold made up 75% of the total amount of sales money he earned. He sold a treadmill for $100, a chest of drawers for half as much as he made for selling the treadmill, and he sold a television for three times what he earned for selling the treadmill. What is the total sum of money, in dollars, that Toby made at the garage sale? The chest of drawers sold for half as much as the treadmill, for a price of $100/2= $<<100/2=50>>50. The television sold for three times what he earned for the treadmill, for a price of $100*3= $<<100*3=300>>300. For the three items, he raised $100+$50+$300 = $<<100+50+300=450>>450. If $450 is 75% of the total sum of money that Toby made at the garage sale, then the total amount is $450 / (75/100) = $600. #### 600 Two trains left the station at the same time, but took different tracks to their destination. One took a track that was 200 miles long and it went 50 MPH. The other took the other track that was 240 miles long and it went 80 MPH. How much time did it take them on average? (Round to the nearest integer.) The first train took 5 hours because 200 / 40 = <<200/40=5>>5 The second train took 3 hours because because 240 / 80 = <<240/80=3>>3 The total time was 8 hours because 5 + 3 = <<5+3=8>>8 The average time was 4 hours because 8 / 2 = <<8/2=4>>4 #### 4 Elsa started the day with 40 marbles. At breakfast, she lost 3 marbles while playing. At lunchtime, she gave her best friend Susie 5 marbles. In the afternoon, Elsa's mom bought her a new bag with 12 marbles. Susie came back and gave Elsa twice as many marbles as she received at lunch. How many marbles did Elsa end the day with? Elsa had 40 marbles - 3 - 5 = <<40-3-5=32>>32 marbles. Elsa then gained 12 marbles + 32 = <<12+32=44>>44 marbles. At dinner Elsa received 2 * 5 marbles from Susie = <<2*5=10>>10 marbles. In total Elsa had 44 marbles + 10 = <<44+10=54>>54 marbles. #### 54 Bert has a garden shop. He buys his products in a warehouse and sells them for $10 more in his shop. From each sale, he has to pay 10% of the value in tax. One day a client came to his shop and bought a barrel for $90. How Much money did Bert make on this sale? First, we need to know how much Bert paid for the barrel in the warehouse, and that is 90 - 10 = $<<90-10=80>>80. The tax from the sale stands at 10/100 * 90 = $<<10/100*90=9>>9. That means Bert earned 90 - 9 - 80 = $<<90-9-80=1>>1 on the sale. #### 1 Nigella is a realtor who earns a base salary of $3,000 a month plus a 2% commission on every house she sells. One month, Nigella sells 3 houses and earns $8,000 total. House B costs three times as much as House A. House C cost twice as much as House A minus $110,000. How much did House A cost? First figure out how much money Nigella earned from commission by subtracting her base salary from her total earnings: $8,000 - $3,000 = $<<8000-3000=5000>>5,000. Next, figure out how much all three houses cost by dividing Nigella's commission money by her commission rate: $5,000 ÷ 0.02 = $<<5000/0.02=250000>>250,000. Next, express each house's price in terms of A's price: B = 3A, and C = 2A - $110,000. Now we know that A + 3A + 2A - $110,000 = $250,000. We can combine like terms to find that 6A - $110,000 = $250,000. Now we add $110,000 to both sides of the equation and get 6A = $360,000. We can divide both sides by 6 to find A = $60,000. #### 60000 A rope has a length of 200 meters. Stefan cuts the rope into four equal parts, gives his mother half of the cut pieces, and subdivides the remaining pieces into two more equal parts. What's the length of each piece? When Stefan cuts the rope into four equal parts, he gets 200/4 = <<200/4=50>>50 meters of each piece. If he decides to subdivide each piece, he and up with 50/2 = <<50/2=25>>25 meters. #### 25