Two stores sell the same model of smartphone, but they offer it at different prices and with different discounts. Store A lists the smartphone at a full price of $125 and offers an additional discount of 8%. Store B lists the same smartphone for $130 and offers an additional discount of 10%. After both stores' discounts are applied, how much cheaper is store A's smartphone than store B's smartphone?

How much is the additional discount? ** Store A has a $125 x 8/100 = $

<<125*8/100=10>>10 discount. How much does the smartphone from store A cost? ** So the smartphone from store A will only cost $125 - $10 = $<<125-10=115>>115. How much is the additional discount? ** Store B has a $130 x 10/100 = $<<130*10/100=13>>13 discount. How much does the smartphone from store B cost? ** So the smartphone from store B will only cost $130 - $13 = $<<130-13=117>>117. How much cheaper is store A's smartphone than store B's smartphone? ** Thus, store A's smartphone is $117 - $115 = $<<117-115=2>>2 cheaper than that of store B. #### 2 A jug needs 40 cups of water to be full. A custodian at Truman Elementary School has to fill water jugs for 200 students, who drink 10 cups of water in a day. How many water jugs will the custodian fill with cups of water to provide the students with all the water they need in a day? How many cups of water does the custodian have to provide? ** Since each student needs 10 cups of water per day and there are 200 students, the custodian has to provide 200*10 = <<200*10=2000>>2000 cups of water. How many jugs will the custodian fill? ** A jug of water needs 40 cups to be full, so 2000 cups of water will fill 2000/40 = <<2000/40=50>>50 jugs #### 50 A farmer is selling ducks and chickens at the market. He sells ducks for $10 and chickens for $8. He sells 5 chickens and some ducks. He then spends half his earnings on a new wheelbarrow. After buying it, someone sees it and agrees to pay the farmer double what the farmer paid and the farmer earns another $60. How many ducks did the farmer sell? How much did the wheelbarrow cost? ** The wheelbarrow cost $30 because 60 / 2 = <<60/2=30>>30 How much did the farmer earn from selling fowl? ** The farmer earned $60 from selling fowl because 30 / (1/2) = <<30/(1/2)=60>>60 How much did the farmer earn selling chickens? ** The farmer earned $40 selling chickens because 5 x 8 = <<5*8=40>>40 How much did the farmer earn selling ducks? ** The farmer earned $20 selling ducks because 60 - 40 = <<60-40=20>>20 How many ducks did the farmer sell? ** The farmer sold 2 ducks because 20 / 10 = <<20/10=2>>2 #### 2 Amelia has $60 to spend on her dinner at a restaurant. The first course costs $15 and the second course $5 more. The cost of the dessert is 25% of the price of the second course. How much money will Amelia have left after buying all those meals? How much does the second course cost? ** The second course cost Amelia $15 + $5 = $<<15+5=20>>20. How much does the dessert cost? ** The dessert cost 25/100 * $20 = $<<25/100*20=5>>5. How much money will Amelia have left after buying all those meals? ** That leaves Amelia with $60 - $15 - $20 - $5 = $<<60-15-20-5=20>>20. #### 20 How many right triangles with a height of 2 inches and a width of two inches could fit inside a square with 2-inch sides? How many square inches are in a triangle with a height of 2 inches and a width of 2 inches? ** A triangle with a height of 2 inches and width of 2 inches has an area of 2 square inches because (1/2) x 2 x 2 = <<(1/2)*2*2=2>>2 How many square inches are in a square with 2-inch sides? ** The square has an area of 4 square inches because 2 x 2 = <<2*2=4>>4 How many right triangles could fit inside a square with 2-inch sides? ** 2 triangles would fit because 4 / 2 = <<4/2=2>>2 #### 2 The basketball team sold 50 cupcakes for $2 each and 40 cookies for $0.5 each. Then the money from their sales was used to buy two basketballs that cost $40 each. The rest of the money was used to buy 20 bottles of energy drinks. How much does a bottle of energy drink cost? How much money did the basketball team earn from selling cupcakes? ** The basketball team earned 50 x $2 = $<<50*2=100>>100 from selling cupcakes. How much money did the basketball team earn from selling cookies? ** They also earned 40 x 0.5 = $<<40*0.5=20>>20 from selling cookies. How much money did the basketball team earn? ** So their total earnings was $100 + $20 = $<<100+20=120>>120. How much did the basketballs cost? ** The two basketballs cost $40 x 2 = $<<40*2=80>>80. How much money was used to buy the 20 bottles of energy drinks? ** Thus, $120 - $80 = $<<120-80=40>>40 was used to buy the 20 bottles of energy drinks. How much does a bottle of energy drink cost? ** Therefore, each bottle of energy drink costs $40/20 = $<<40/20=2>>2. #### 2 The cost of purchasing two commodities is $827. If the purchase price of the first one exceeds the other by $127, what is the purchase price of the first commodity? Define a variable ** Let X be the price of the first commodity, so the price of the second commodity is X - $127. Write an equation ** The cost of purchasing two of them is X + (X - $127) = $827. Simplify ** Combining like terms, we get X*2 - $127 = $827. Simplify ** Subtracting $137 from both sides, we get X*2 = $954. Simplify ** Dividing both sides by 2, we get X = $477. #### 477 Martha collected 90 cans while Diego collected 10 more than half the cans collected by Martha. If both of them should collect a total of 150 cans for their project, how many more cans do they need to collect? How many cans did Martha collect? ** Half the cans collected by Martha is 90/2 = <<90/2=45>>45 How many cans did Diego collect? ** So, Diego collected 45 + 10 =<<45+10=55>>55 cans. How many cans did Martha and Diego collect together? ** Martha and Diego collected 90 + 55 = <<90+55=145>>145 cans together. How many more cans do they need to collect? ** Thus, they need to collect 150 - 145 = <<150-145=5>>5 more cans. #### 5 Janele wants to figure out the average weight of her cats. She has 4 of them. The first two weigh 12 pounds each. The third weighs 14.7 pounds and the fourth weighs 9.3 pounds. What is their average weight? How much do the four cats weigh in total? ** The four cats weigh 48 pounds in total because 12 plus 12 plus 14.7 plus 9.3 equals <<12+12+14.7+9.3=48>>48. What is the average weight of the cats? ** The average weight is 12 pounds because 48 divided by 4 is <<48/4=12>>12. #### 12 Jessica just got her driving permit. She must complete 50 hours of driving with a parent to get her driver’s license. It takes 20 minutes to drive to school. If she drives to and from school every day, how many school days will it take Jessica to meet the 50-hour driving requirement? How many minutes does Jessica drive each day? ** Jessica will drive 20 minutes, twice every school day (to and from school), so 20 minutes x 2 trips = <<20*2=40>>40 minutes each day. How many minutes are in 50 hours of driving? ** There are 60 minutes in 1 hour, so 50 hours of driving x 60 minutes/hour = <<50*60=3000>>3,000 minutes. How many school days will it take Jessica to meet the 50-hour driving requirement? ** If you take the 3,000 minutes she needs to drive / 40 minutes driving each day = <<3000/40=75>>75 school days to drive 50 hours. #### 75