On her birthday, Avianna bought red candles and blue candles in the ratio of 5:3. If Avianna had 45 red candles on her birthday, how many blue candles did she have?

If the ratio of red candles to blue candles Avianna bought was 5:3, then the total ratio was 5+3 = 8.

If 5 represented 45 candles in the total ratio, then 8, the actual ratio, represents 8*45 = 360 divided by 5 is 360/5 = 72 candles.

If the total number of candles was 72, then the number of blue candles is 72 candles - 45 candles =

<<72-45=27>>27 candles #### 27 Mary and Rose went shopping to buy presents. They spent the same amount. Mary bought two pairs of sunglasses for $50 each and a pair of jeans for $100. Rose bought a pair of shoes at $150 and two decks of basketball cards. How much did one deck of basketball cards cost? Two pairs of sunglasses costs 2 x $50 = $<<2*50=100>>100. So, Mary spent $100 + $100 = $<<100+100=200>>200. Thus, two decks of basketball cards costs $200 - $150 = $<<200-150=50>>50. Therefore, one deck of basketball cards costs $50/2 = $<<50/2=25>>25. #### 25 Yeon has three times as many watermelon seeds as Gwi. Gwi has 40 more watermelon seeds than Bom. If Bom has 300 watermelon seeds, how many seeds do they have together? If Bom has 300 seeds, then Gwi has 300+40 = <<300+40=340>>340 watermelon seeds. Together, Bom and Gwi have 340+300 = <<340+300=640>>640 melon seeds. Yeon's number of watermelon seeds is three times as many as the number that Gwi has, meaning Yeon has 3*340 = <<3*340=1020>>1020 watermelon seeds. Together, the three friends have 1020+640 = <<1020+640=1660>>1660 watermelon seeds. #### 1660 Jasmine and her older sister Alexa went to the store to buy shoes. Alexa's shoes are twice as big as Jasmine's shoes. If Jasmine's shoe size is 7, what's the combined shoe size for both of them? If Alexa's shoes are twice those of Jasmine, then her shoe size is 7 * 2 = <<7*2=14>>14 The total shoe size is 14 + 7= <<14+7=21>>21 #### 21 Vaishali has 4 hats, each with three stripes. She also has three hats with four stripes each, six hats with no stripes, and another two hats with 5 stripes each. What is the combined total number of stripes Vaishali has on all of her hats? Four hats, each with three stripes, is 4*3=<<4*3=12>>12 stripes. Three hats with four stripes each is 3*4=<<3*4=12>>12 stripes. Six hats with no stripes is 6*0 = <<6*0=0>>0 stripes. And two hats with 5 stripes each is 2*5=<<2*5=10>>10 stripes. The combined total number of stripes Vaishali has on all of her hats is 12+12+0+10=<<12+12+0+10=34>>34 stripes. #### 34 A baker has 10 cheesecakes on the display while 15 more are still in the fridge. If the baker has sold 7 cheesecakes from the display, how many more cheesecakes are left to be sold? A baker has a total of 10 + 15 = <<10+15=25>>25 cheesecakes both from the display and the fridge. Therefore, there are 25 - 7 = <<25-7=18>>18 more cheesecakes to be sold. #### 18 Tina is working on her homework when she realizes she's having a hard time typing out her answers on her laptop because a lot of the keys are sticky. She is trying to get her homework done before dinner, though, so she needs to decide if she has time to clean her keyboard first. Tina knows her assignment will only take 10 minutes to complete. Dinner will be ready at 5:30 p.m. Tina decides to time how long it takes to remove and clean one key and will then multiply that time by how many keys she needs to fix. She counts 15 keys that are sticky and times it to take 3 minutes to clean one. After Tina has cleaned one key, there are 14 left to clean. How many minutes total will it take for Tina to both clean the remaining keys and finish her assignment? Tina has already cleaned one key so she has 14 left which take 3 minutes each to clean, 14 x 3 = <<14*3=42>>42 minutes to clean all the keyboard keys. Her assignment will take 10 minutes to complete, so she needs 42 minutes + 10 minutes = 52 minutes total before dinner. #### 52 Jacob is 24 years now. His brother Tony is half Jacob's age. In 6 years how old will tony be? Tony’s age now is 24 / 2 = <<24/2=12>>12 years old. In 6 years he will be 12 + 6 = <<12+6=18>>18 years old. #### 18 James buys 200 lotto tickets for 2 dollars each. Of those tickets 20% are winners. 80% of the winners are for 5 dollars. 1 ticket is the grand prize of $5,000. The other tickets win an average of $10. How much did he profit? He spent 200*2=$<<200*2=400>>400 There were 200*.2=<<200*.2=40>>40 tickets Of those 40*.8=32 are 5 dollar winners So they win 32*5=$<<32*5=160>>160 He has 40-32=<<40-32=8>>8 other winning tickets Of those 8-1=<<8-1=7>>7 wins $10 So they win 10*7=$<<10*7=70>>70 So he won 5000+70+160-400=$<<5000+70+160-400=4830>>4830 #### 4830 In a community of 50 families, 15 families own 2 dogs, 20 families own 1 dog, while the remaining families own 2 cats each. How many dogs and cats are there in all? The 15 families own 15x2=<<15*2=30>>30 dogs. The 20 families own 20x1=<<20*1=20>>20 dogs. There are 50-15-20=<<50-15-20=15>>15 cat owners. The remaining families own 15x2=<<15*2=30>>30 cats. There are 30+20+30=<<30+20+30=80>>80 dogs and cats in the village. #### 80