In a Math competition, Sammy scored 20 points, Gab scored twice as many as Sammy's score, while Cher scored twice as many as Gab's score. If their opponent scored 85 points, how many more points do they have than their opponent?
Gab scored 20 x 2 =
<<20*2=40>>40 points. Cher scored 40 x 2 = <<40*2=80>>80 points. Their team scored 20 + 40 + 80 = <<20+40+80=140>>140 points. Therefore, they scored 140 - 85 = <<140-85=55>>55 more points than their opponent. #### 55 New York recorded 5000 new coronavirus cases on a particular week. In the second week, half as many new coronaviruses cases as the first week was recorded by the state. In the third week, 2000 more cases were recorded in the state. What is the total number of recorded new coronaviruses in the state after the three weeks? If there were 5000 new cases on the first week, the total for the second week is 1/2 * 5000 cases = <<5000*1/2=2500>>2500 cases. The total number of new coronavirus cases in the three weeks is 2500 cases + 5000 cases + 2000 cases = <<2500+5000+2000=9500>>9500 cases. #### 9500 Daria consumes 2.5 times the amount of pizza that Don does. If Don eats 80 pizzas, how many pizzas do they both eat altogether? Since Daria consumes two and a half times the amount of pizza that Don does, if Don eats 80 pizzas, Daria eats 2.5*80 = <<2.5*80=200>>200 pizzas. Together, they eat 200+80 = <<200+80=280>>280 pizzas. #### 280 Sidney does 20 jumping jacks on Monday, 36 on Tuesday, 40 on Wednesday, and 50 on Thursday. Brooke does three times as many jumping jacks as Sidney. How many jumping jacks did Brooke do? Sidney does 20 on Monday + 36 on Tuesday + 40 on Wednesday + 50 on Thursday = <<20+36+40+50=146>>146 jumping jacks. Brooke does 3 x 146 = <<3*146=438>>438 jumping jacks. #### 438 A jar on the family's counter contains change they've been saving a trip to the ice cream shop. There are 123 pennies, 85 nickels, 35 dimes, and a number of quarters. All five family members get a double scoop, which costs $3 each. After the trip, they have 48 cents left over. How many quarters were in the jar? The family spent $15 on ice cream because 5 x 3 = <<5*3=15>>15 They total amount of change they had was $15.48 because 15 + .48 = <<15+.48=15.48>>15.48 They have $1.23 in pennies because 123 x .01 = <<123*.01=1.23>>1.23 They have $4.25 in nickels because 85 x .05 = <<85*.05=4.25>>4.25 They have $3.50 in dimes because 35 x .1 = <<35*.1=3.5>>3.5 Without the quarters they have a total of $8.98 because 1.23 + 4.25 + 3.5 = <<1.23+4.25+3.5=8.98>>8.98 They have $6.5 worth of quarters because 15.48-8.98 = <<15.48-8.98=6.5>>6.5 They have 26 quarters because 6.5 / .25 = <<6.5/.25=26>>26 #### 26 Rica's group won in a dance competition. She got 3/8 of the prize money. From Rica's prize money, she spent 1/5 of it and is now left with $300. How much was the prize money that her group won? Rica is left with 1 - 1/5 = 4/5 of her prize money which is equal to $300. Since 4/5 is worth $300, then 1/5 is worth $300/4 = $75. So, Rica got $75 x 5 = $375 from their prize money which is 3/8 of the total prize. Since 3/8 is equal to $375, then 1/8 is worth $375/3 = $125. So, the total prize money is $125 x 8 = $<<125*8=1000>>1000. #### 1000 Susan had a sum of money. She spent 1/5 of it in September, 1/4 of it in October, and $120 in November. After spending these amounts of money, she still had $540 left. How much money did she have at first? Let X be the amount Susan had originally. Susan spent 1/5*X in September, 1/4*X in October, and $120 in November. Susan has X - 1/5*X - 1/4*X - $120 = $540 left. Combining like terms, we get 11/20*X - $120 = $540 Adding $120 to both sides, we get 11/20*X = $660. Dividing both sides by 11/20 we get X = $1200. #### 1200 Barbara has 9 stuffed animals. Trish has two times as many stuffed animals as Barbara. They planned to sell their stuffed animals and donate all the money to their class funds. Barbara will sell her stuffed animals for $2 each while Trish will sell them for $1.50 each. How much money will they donate to their class funds? Barbara will be able to sell all her stuffed animals for 9 x $2 = $<<9*2=18>>18. Trish has 9 x 2 = <<9*2=18>>18 stuffed animals. Trish will be able to sell all her stuffed animals for 18 x $1.50 = $<<18*1.5=27>>27. Therefore, they will donate a total of $18 + $27 = $<<18+27=45>>45 to their class funds. #### 45 Skyler is a composer. He wrote 25 hit songs that made it on the top 10 charts; ten more songs that made it on the top 100 charts than the hit songs; 5 fewer songs than the hit songs that were never released. How many songs did Skyler write in all? Skyler wrote 25 + 10 = <<25+10=35>>35 songs that made it on the top 100. He wrote 25 - 5 = <<25-5=20>>20 songs that were never released. So, Skyler wrote a total of 25 + 35 + 20 = <<25+35+20=80>>80 songs. #### 80 Sara’s house is 100 square feet larger than 2 times Nada's house. If Sara's house is 1000 square feet, how many square feet is Nada's house? Let the number of square feet in Nada's house be y. 2y + 100 = 1000. 2y = 900. Meaning, y= <<450=450>>450 square feet. #### 450