John and Yasmin's dad is named Gabriel. If John has twice the number of children that her sister has and Gabriel has six grandkids, how many children does Yasmin have?

We don't know Yasmin's number of children yet, but let's represent it as Y.

If John has twice the number of children Yasmin has, then John has 2*Y = 2Y kids

If Gabriel has 6 grandkids between John's and Yasmin's children, then we can represent this as 6 = 2Y + Y

If we solve the latest equation then we learn that 6=3Y

Given that Y represents how many kids Yasmin has, then solving for Y we know that Y=6/3 or Y=2 kids

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LaKeisha is mowing lawns to raise money for a collector set of books. She charges $.10 for every square foot of lawn. The book set costs $150. If she has already mowed three 20 x 15 foot lawns, how many more square feet does she have to mow to earn enough for the book set?

She has mowed 900 square feet because 3 x 20 x 15 =

<<3*20*15=900>>900 She has earned $90 because 900 x .1 = <<900*.1=90>>90 She has to earn $60 more dollars because 150 - 90 = <<150-90=60>>60 She has to mow 600 more square feet of lawns because 60 / .1 = <<60/.1=600>>600 #### 600 There's a sale at your favorite "Any item $10" retailer. If you buy 1 shirt you pay $10. If you buy 2, you get the second one at a 50% discount. If you buy 3, you get the third one at a 60% discount. How much money did you save if you bought 3 shirts? The first shirt has no (0%) discount off the regular price ($10), therefore your discount is = 0% * $10 = $<<0*.01*10=0>>0 The second shirt has a 50% discount off the regular price ($10), therefore your discount is = 50% * $10 = $<<50*.01*10=5>>5 The third shirt has a 60% discount of the regular price ($10), therefore your discount is = 60% * $10 = $<<60*.01*10=6>>6 Therefore in total, you save $0 on the first shirt, $5 on the second one and $6 on the third one = 0+5+6 = $<<0+5+6=11>>11 #### 11 At the bake sale, Tamara makes $32 from the brownies. She made 2 pans of brownies which were all sold. The brownies were cut into 8 big square pieces. How much did each brownie cost? Tamara had 2 x 8 = <<2*8=16>>16 big square brownie pieces. Each brownie piece cost $32 / 16 = $<<32/16=2>>2. #### 2 The cheerleading coach is ordering new uniforms. There are 4 cheerleaders who need a size 2, a certain number who need a size 6, and half that number who need a size 12. If there are 19 cheerleaders total, how many cheerleaders need a size 6? Let s be the number of cheerleaders who need a size 6 and t be the number who need a size 12. We know that s = 2t and s + t + 4 = 19. Substituting the first equation into the second equation, we get 2t + t + 4 = 19 Combining like terms, we get 3t + 4 = 19 Subtracting 4 from both sides, we get 3t = 15 Dividing both sides by 3, we get t = 5 Substituting that value back into the equation s = 2t, we get s = 2 * 5 = <<2*5=10>>10 #### 10 A cat spends its time hunting birds. The cat catches 8 birds during the day and twice this many at night. In total, how many birds did the cat catch? At night, the cat catches 8 birds * 2 = <<8*2=16>>16 birds. Combined with the birds caught during the day, the cat caught a total of 8 birds + 16 birds = <<8+16=24>>24 birds. #### 24 Penelope has 5 M&M candies for every 3 Starbursts candies. If she has 25 M&M candies, how many Starbursts candies does she have? Let 5 M&M candies and 3 Starbursts candies be referred to as the unit amounts of each candy. 5 M&M candies make one unit so 25 makes 25/5 = <<25/5=5>>5 units of M&M candies For every unit of 5 M&M candies, there is a corresponding unit of 3 Starbursts candies so for 5 units of M&M, she has 5 units of 3 Starbursts candies which is = 5*3 = <<5*3=15>>15 Starbursts candies. #### 15 Tim watches 2 shows. One of them is a half-hour show per episode and the other is a 1-hour long show per episode. The short show had 24 episodes and the long show had 12 episodes. How many hours of TV did he watch? The short show has 24*.5=<<24*.5=12>>12 hours of TV The long show is 12*1=<<12*1=12>>12 hours So in total he watches 12+12=<<12+12=24>>24 hours #### 24 Amy biked 12 miles yesterday. If she biked 3 miles less than twice as far as yesterday, how many miles did she bike in total in the two days? Twice the distance Amy biked yesterday is 12*2 = <<12*2=24>>24 miles If Amy biked 3 miles less than twice as far as yesterday, she biked 24-3 = <<24-3=21>>21 miles today. The total distance she biked in the two days is 21+12 = <<21+12=33>>33 miles #### 33 Kara mixes cups of sugar and water in the ratio of 1:2 to make one liter of lemonade. Calculate the total number of cups of sugar used if she used 84 cups to make lemonade. The total ratio for the cups of sugar and water needed to make lemonade is 1+2 = <<1+2=3>>3 In the 3 cups needed to make one liter of lemonade, the fraction representing the cups of sugar needed is 1/3. If she used 84 cups while making lemonade, she used 1/3*84 = <<84*1/3=28>>28 cups of sugar. #### 28