Two bowls are holding marbles, and the first bowl has a capacity equal to 3/4 the capacity of the second bowl. If the second bowl has 600 marbles, calculate the total number of marbles both bowls are holding together.

If the first bowl has a capacity of 3/4 of the second bowl, it's holding 3/4 * 600 =

<<3/4*600=450>>450 marbles Together, the two bowls are holding 450 + 600 = <<450+600=1050>>1050 marbles #### 1050 Akeno spent $2985 to furnish his apartment. Lev spent one-third of that amount on his apartment and Ambrocio spent $177 less than Lev. How many dollars more did Akeno spend than the other 2 people combined? Lev = (1/3) * 2985 = $<<(1/3)*2985=995>>995 Ambrocio = 995 - 177 = $<<995-177=818>>818 2985 - (995 + 818) = $<<2985-(995+818)=1172>>1172 Akeno spent $1172 more than Lev and Ambrocio combined. #### 1172 Lee had $10 and his friend had $8. They went to a restaurant where they ordered chicken wings for $6 and a chicken salad for $4. They also got 2 sodas for $1.00 each. The tax came to $3. How much change should they have received in total? Lee and his friend had a total of $10 + $8 = $<<10+8=18>>18. The cost of the food was $6 + $4 + $1 + $1 = $<<6+4+1+1=12>>12. The total cost, including tax was $12 + $3 = $<<12+3=15>>15. They should have received $18 - $15 = $<<18-15=3>>3 in total. #### 3 Violet is planning a hike through the desert with her dog. Violet needs 800 ml of water per hour hiked and her dog needs 400 ml of water per hour. If Violet can carry 4.8 L of water, how many hours can she and her dog spend hiking? First find the total amount of water Violet and her dog consume per hour: 800 ml + 400 ml = <<800+400=1200>>1200 ml Then divide that amount by 1000 ml/L to convert it to liters: 1200 ml / 1000 ml/L = <<1200/1000=1.2>>1.2 L Then divide Violet's carrying capacity by the amount of water they drink per hour to find how many hours she can hike: 4.8 L / 1.2 L/hour = 4 hours #### 4 Bill and Joan both work for a library. 5 years ago, Joan had 3 times as much experience as Bill. Now she has twice as much experience as Bill. How many years of experience does Bill have now? Let b be Bill's years of experience and j be Joan's years of experience. We know that j - 5 = 3(b - 5) and j = 2b. Substituting the second equation into the first equation, we get 2b - 5 = 3(b - 5) Multiplying through the parentheses, we get 2b - 5 = 3b - 15 Adding 15 to both sides, we get 2b + 10 = 3b Subtracting 2b from both sides, we get 10 = b #### 10 A rectangle has a length of 40 meters and a width of 20 meters. A similar smaller rectangle has half the length and width of the big rectangle. What's the area of the smaller rectangle? The length of the smaller rectangle is 1/2*40 = <<1/2*40=20>>20 meters. The width of the smaller rectangle is 1/2*20 = <<1/2*20=10>>10 meters. Since the area of a rectangle is found by multiplying the length times the width, the total area of the smaller rectangle is 20*10 = <<20*10=200>>200 meters square. #### 200 Laura wants to bake a cake for her mother. She checks the recipe and the pantry and sees that she needs to buy 2 cups of flour, 2 cups of sugar, a cup of butter, and two eggs. The flour costs $4. The sugar costs $2. The eggs cost $.5, and the butter costs $2.5. When she is done baking it, she cuts the cake into 6 slices. Her mother enjoys a piece the first two days. But on the third day, they discover that Kevin, her dog, ate the rest of the cake. How much did the amount the dog ate cost? The cake cost $9 in total because 4 + 2 + .5 + 2.5 = <<4+2+.5+2.5=9>>9 Each slice costs $1.5 because 9 / 6 = <<9/6=1.5>>1.5 The dog ate 4 slices because 6 - 2 = <<6-2=4>>4 The amount the dog ate cost $6 because 4 x 1.5 = <<4*1.5=6>>6 #### 6 A bottle of wine costs $20.00 today. When new tariffs are imposed in 2 months, the price of wine will increase by 25%. How much more expensive will 5 bottles of wine be in 2 months? Today, 5 bottles of $20.00 wine will cost 5*20 = $<<5*20=100.00>>100.00 In 2 months there will be a 25% tariff on the 5 bottles of wine that cost $100.00 so that makes the 5 bottles .25*100 = $25.00 more expensive #### 25 Greg has lent his sister Tessa money on several occasions. Greg writes down all of his sister's debts in a notebook, the first time he lent her $40. A week later, Tessa paid him back half of her debt. A few days later she asked him for $10 more. How much does Tessa still owe Greg? After Greg lent her $40, Tessa paid him back 40 / 2 =$<<40/2=20>>20. So Tessa's debt was 40 - 20 = $<<40-20=20>>20. Finally, she asked for $10 more, leaving the debt at 20 + 10 = $<<20+10=30>>30. #### 30 Edmund owns a gift wrapping shop, he uses 18 inches of gift wrapper per gift box. If Edmund has 90 inches of gift wrapper per day, how many gift boxes will he be able to wrap every 3 days? Edmund can wrap 90/18 = <<90/18=5>>5 gift boxes per day. Therefore, he will be able to wrap 5 x 3= <<5*3=15>>15 gift boxes every 3 days. #### 15