Today is my birthday and I'm three times older than I was six years ago. What is my age?

We know that my age divided by three is equal to my age minus six therefore X/3 = X-6 where X = My age

This means that X = 3X - 18 because we can multiply both sides by 3

This also means that -2X=-18 because we can subtract 3X from the right side.

Therefore X = 9 because - 18/-2 =

<<-18/-2=9>>9 #### 9 At a laundromat, it costs $4 for a washer and a quarter for every 10 minutes in the dryer. Samantha does 2 loads of laundry in the wash and then divides all the washed clothes equally into 3 separate dryers. If she lets the dryers run for 40 minutes each, how much does she spend altogether? Samantha spends $4 x 2 = $<<4*2=8>>8 on washing. Each dryer costs 25 x 4 = 100 cents = $1 Three dryers cost 1 x 3 = $<<3=3>>3 Altogether, she spends 8 + 3 = $<<8+3=11>>11 #### 11 Gina chooses what she and her sister will watch on Netflix three times as often as her sister does. If her sister watches a total of 24 shows on Netflix per week, and each show is 50 minutes long, how many minutes of Netflix does Gina get to choose? Let g be the number of shows Gina chooses and s be the number her sister chooses. We know that g = 3s and g + s = 24 Substituting the first equation into the second equation, we get 3s + s = 24 Combining like terms, we get 4s = 24 Dividing both sides by 4, we get s = 6 Substituting this value back into g = 3s, we get g = 3 * 6 = <<3*6=18>>18 Then multiply the number of shows by the length of each show in minutes to find the total number of minutes Gina chooses: 18 shows * 50 minutes/show = <<18*50=900>>900 minutes #### 900 There are 70 cookies in a jar. If there are only 28 cookies left after a week, and Paul took out the same amount each day, how many cookies did he take out in four days? Paul took out a total of 70-28 = <<70-28=42>>42 cookies in a week. Paul took out 42/7 = <<42/7=6>>6 cookies out of the jar each day. Over four days, Paul took out 6*4 = <<6*4=24>>24 cookies from the jar. #### 24 Mr. Manuel is a campsite manager who's been tasked with checking the number of tents set up in the recreation area. On a particular day, he counted 100 tents in the northernmost part of the campsite and twice that number on the east side of the grounds. The number of tents at the center of the camp was four times the number of tents in the northernmost part of the campsite. If he also counted 200 tents in the southern part of the campsite, what is the total number of tents in the recreation area? On the eastern part of the campsite, Mr Manuel counted 2*100 = <<2*100=200>>200 tents The total number of tents in the eastern and the northern part of the campgrounds is 200+100 = <<200+100=300>>300 There are four times as many tents as the northernmost part in the central part of the campsite, which means there are 4*100 = <<4*100=400>>400 tents in the central part of the camp. The total number of tents in the three parts of the campsite is 400+300 = <<400+300=700>>700 If you add the number of tents Mr. Manuel counted at the southern part of the campsite, you get 700+200 = <<700+200=900>>900 tents on the whole campsite #### 900 Matilda has half as many jellybeans as Matt. Matt has ten times as many jellybeans as Steve. If Steve has 84 jellybeans, how many jellybeans does Matilda have? Matt has 84*10 = <<84*10=840>>840 jellybeans. Matilda has 840/2 = <<840/2=420>>420 jellybeans. #### 420 A 750 ml bottle of spirits costs $30.00 and has 16 servings per bottle. Most restaurants will charge $8.00 for one serving. How much money does a restaurant make on a bottle of spirits? There are 16 servings in 1 bottle and they charge $8.00 per serving so that's 16*8 = $<<16*8=128.00>>128.00 1 bottle yields $128.00 and they spent $30.00 for the bottle so they make 128-30 = $<<128-30=98.00>>98.00 on each bottle #### 98 Ryan is looking for people to crowdfund his new business idea. If the average person funds $10 to a project they're interested in, how many people will Ryan have to recruit to fund a $1,000 business if he has $200 already? First, we need to determine how much money Ryan needs to hit his goal which we find by subtracting his available cash from his target, performing 1000-200=<<1000-200=800>>800 dollars needed. Since the average person contributes $10 when crowdfunding, this means he needs to find 800/10=<<800/10=80>>80 people to fund his business well enough for him to hit his goal. #### 80 A boy squirrel gathers 6 walnuts and carries them to his burrow in the tree, adding to the 12 already there, and dropping 1 on the way. The girl squirrel brings 5 more walnuts to their burrow and eats 2. How many walnuts are left? With the boy’s contribution, there are 12 + 6 = <<12+6=18>>18 walnuts. When he drops 1, now they have 18 - 1 = <<18-1=17>>17 walnuts. The girl adds to their stash, making the count 17 + 5 = <<17+5=22>>22 walnuts. When the girl eats 2, the final count is 22 - 2 = <<22-2=20>>20 walnuts. #### 20 There are six oranges in a fruit basket. There are two fewer apples than oranges. There are 3 times as many bananas as apples, and there are half as many peaches as bananas. How many pieces of fruit are in the fruit basket? There are 6 - 2 = <<6-2=4>>4 apples. There are 3 * 4 = <<3*4=12>>12 bananas. There is 1/2 x 12 bananas = <<1/2*12=6>>6 peaches. There is 6 oranges + 4 apples + 12 bananas + 6 peaches = <<6+4+12+6=28>>28 pieces of fruit. #### 28