Viviana has five more chocolate chips than Susana, while Susana has 3/4 as many vanilla chips as Viviana. If Viviana has 20 Vanilla chips and Susana 25 chocolate chips, calculate the total number of chips they have together.
Viviana has 20 Vanilla chips.
Susana has 25 chocolate chips.
Viviana has 25+5 =
<<25+5=30>>30 chocolate chips. Susana has 3/4*20 = <<3/4*20=15>>15 Vanilla chips. They have 30+25 = <<30+25=55>>55 chocolate chips together. Together they have 20+15 = <<20+15=35>>35 vanilla chips. Together they have 35+55 = <<35+55=90>>90 chips #### 90 In a card game, you are awarded 10 points if you win one round. While playing, Jane ends up with 60 points. If she lost 20 points, then how many rounds did she play? If Jane got 60 points and lost 20 points then the total number of points she accumulated in all the rounds was 60+20 = <<60+20=80>>80 points. If each round is awarded 10 points, then the number of rounds will be 80/10 = <<80/10=8>>8 rounds. #### 8 In a jar that has 50 ants, the number of ants in the jar doubles each hour. How many ants will be in the jar after 5 hours? After first hour, 50 * 2 = <<50*2=100>>100 ants. After the second hour, 100 * 2 = <<100*2=200>>200 ants. After the third hour, 200 * 2 = <<200*2=400>>400 ants. After the fourth hour, 400 * 2 = <<400*2=800>>800 ants. After the fifth hour, 800 * 2 = <<800*2=1600>>1600 ants. #### 1600 Eugene built a model house out of toothpicks and a deck of playing cards. For every card, he used 75 toothpicks. The deck of playing cards had 52 cards, and Eugene used all but 16 of the cards to build his house. If a box of toothpicks contains 450 toothpicks, how many boxes of toothpicks did Eugene use to create his model house? If Eugene used all but 16 of the 52 cards, then he used 52-16=<<52-16=36>>36 cards. If for every card he used 75 toothpicks, then a box of toothpicks would have enough toothpicks for 450/75=<<450/75=6>>6 cards. Since one box has enough toothpicks for 6 cards, then for 36 cards he would need 36/6=<<36/6=6>>6 boxes of toothpicks. #### 6 Jeff committed to run for an hour a day during weekdays. On Thursday, he cut short his run by 20 minutes but was able to jog 10 minutes more on Friday. How many minutes was he able to run for that week? Jeff was able to run a total of 60 x 3 = <<60*3=180>>180 minutes from Monday to Wednesday. On Thursday, Jeff ran for 60 - 20 = <<60-20=40>>40 minutes only. On Friday, he ran for 60 + 10 = <<60+10=70>>70 minutes. Therefore, Jeff ran a total of 180 + 40 + 70 = <<180+40+70=290>>290 minutes. #### 290 Noemi lost $400 on roulette and $500 on blackjack. How much money did Noemi begin with if she still had $800 in her purse? The total amount of money that she lost is $400+$500 = $<<400+500=900>>900 If she remained with $900, she initially had $900+$800 = $<<900+800=1700>>1700 #### 1700 Randy has some money in his piggy bank. He spends 2 dollars every time he goes to the store. He makes 4 trips to the store every month. If he had $104 dollars left in his piggy bank after a year, how much money, in dollars, did he have at first? Randy spends 2*4=<<2*4=8>>8 dollars every month. Randy spends 8*12=<<8*12=96>>96 dollars in a year. Randy had 96+104=<<96+104=200>>200 dollars in his piggy bank at first. #### 200 At the bookstore, Sarah bought 6 paperback books and 4 hardback books. Her brother bought one-third as many paperback books as Sarah bought, and two times the number of hardback books that she bought. How many books did her brother buy in total? Her brother bought 6/3=<<6/3=2>>2 paperbacks He bought 4*2=<<4*2=8>>8 hardbacks In total he bought 2+8=<<2+8=10>>10 books #### 10 It is recommended that men should consume no more than 150 calories of added sugar per day. Mark took a soft drink in the afternoon that contained 2500 calories, 5% of which was from added sugar. Then he bought some bars of candy which had 25 calories of added sugar each. If he eventually exceeded the recommended intake of added sugar by 100%, how many bars of candy did he take? He consumed 2500 calories, 5% of which is added sugar to give 2500*(5/100) = <<2500*(5/100)=125>>125 calories of added sugar. He exceeded the recommended intake of 150 calories by 100% for a total consumption of 150+(150(100/100)) = $<<150+(150*100/100)=300>>300 This means he took in 300-125 = <<300-125=175>>175 calories from candy alone Each candy had 25 calories so 175 calories which means he consumed 175/25 = <<175/25=7>>7 bars? #### 7 The gummy bear factory manufactures 300 gummy bears a minute. Each packet of gummy bears has 50 gummy bears inside. How long would it take for the factory to manufacture enough gummy bears to fill 240 packets, in minutes? The factory creates 300 gummy bears a minute, which means it produces 300 / 50 = <<300/50=6>>6 packets of gummy bears per minute. It would take 240 / 6 = <<240/6=40>>40 minutes to manufacture enough gummy bears to fill 240 packets. #### 40