Katie has 13 pink marbles. She has 9 fewer orange marbles than pink marbles. She has 4 times as many purple marbles as orange marbles. How many marbles does Katie have in all?

Find the number of orange marbles. 13 marbles - 9 marbles =

<<13-9=4>>4 marbles Find the number of purple marbles. 4 marbles x 4 = <<4*4=16>>16marbles Find the total amount of pink, orange, and purple marbles. 13 marbles + 4 marbles + 16 marbles = 45 marbles #### 33 Ellen is in charge of parking at a golf tournament. Once the main lot is full, she must direct cars to park in the overflow lot. She must transport the patrons who parked in the overflow lot up to the main lot using a golf cart. Ellen can fit 3 patrons in a golf cart. There are 12 patrons who came in cars and 27 from a bus waiting in the overflow parking lot. How many golf carts does Ellen need to transport them? There are a total of 12 patrons who came in cars + 27 from a bus = <<12+27=39>>39 patrons who need a ride to the main lot. 3 patrons can fit in each golf cart, so 39 patrons / 3 in a cart = <<39/3=13>>13 total carts. #### 13 The sum of Cooper’s, Dante’s, and Maria’s ages is 31. Dante is twice as old as Cooper. Maria is one year older than Dante. How old is Cooper? Let X be the age of Cooper. So Dante is X*2 years old and Maria is X*2 + 1 year old. The sum of Cooper’s, Dante’s, and Maria’s ages is X + (X*2) + (X*2 + 1) = 31. Combining like terms, we get X*5 + 1 = 31. Subtracting one from both sides, we get X*5 = 30. Dividing both sides by 5, we get X = 6 years old. #### 6 A pet shop has 2 puppies and some kittens. A puppy costs $20, and a kitten costs $15. If the stock is worth $100, how many kittens does the pet shop have? The 2 puppies cost 2 * 20 = <<2*20=40>>40 dollars The stock is worth 100 dollars, meaning that the kittens cost 100 - 40 = <<100-40=60>>60 dollars Since the cost of a kitten is 15 dollars, the pet shop has 60/15 = <<60/15=4>>4 kittens #### 4 It was time for Kelly to harvest her carrots that she had planted in three different beds. In the first bed she pulled out 55 carrots. In the second bed she pulled out 101 carrots and in the third bed she pulled out 78 carrots. She found that 6 carrots weighed one pound. How many pounds of carrots did Kelly harvest? She pulled out 55 + 101 + 78 = <<55+101+78=234>>234 6 carrots weigh one pound so 234/6 = <<234/6=39>>39 pounds of carrots #### 39 Lydia has 80 plants. 40% of her plants are flowering plants. Lydia wants to place a fourth of her flowering plants on the porch. If each flowering plant produces 5 flowers, how many flowers are there in total on the porch? Lydia has 80 * 0.40 = <<80*0.40=32>>32 flowering plants Lydia places 32 / 4 = <<32/4=8>>8 of the flowering plants on the porch There are 8 * 5 = <<8*5=40>>40 flowers on the porch #### 40 Vivi bought fabric to make new pillows for her bed. She spent $75 on checkered fabric and $45 on plain fabric. If both fabrics cost $7.50 per yard, how many total yards of fabric did she buy? The total yards of the checkered fabric is $75 / 7.50 = <<75/7.50=10>>10. The total yards of the plain fabric is 45 / 7.50 = <<45/7.50=6>>6. So, Vivi bought a total of 10 + 6 = <<10+6=16>>16 yards of fabric. #### 16 Tom is playing a game and gets 10 points for killing an enemy. If he kills at least 100 enemies he gets a 50% bonus to his score. What was his total score if he killed 150 enemies? He gets 150*10=<<150*10=1500>>1500 points The bonus is worth 1500*.5=<<1500*.5=750>>750 points So his total score is 1500+750=<<1500+750=2250>>2250 points #### 2250 A store offers a $2 discount for every $10 purchase on any item in the store. Kataleya went to the store and bought 400 peaches sold at forty cents each. Calculate the total amount of money she paid at the store for the fruits. The total cost for the peaches was 400* $0.40 =$<<400*0.4=160>>160 The total count of 10 dollar purchases Kataleya received a discount on was $160/$10 = 16 If each purchase had a $2 discount, the total discount she received is 16*$2 = $<<16*2=32>>32 She purchased the peaches at $160-$32 = $<<160-32=128>>128 #### 128 Cassie is an athletic person and tries to drink at least 12 cups of water a day to stay hydrated while being active. Her water bottle holds 16 ounces. There are 8 ounces of water in a cup. How many times does Cassie have to refill her water bottle a day to make sure she drinks 12 cups? Cassie needs to drink 8 * 12 = <<8*12=96>>96 ounces of water to drink 12 cups a day. Thus, Cassie needs to refill her water bottle 96 / 16 = <<96/16=6>>6 times a day. #### 6