Chapter 1 - XYZ Custom Plus

1.5 Multiplication with Whole Numbers, and Area45Example 7A s u p e r m a r k e torders 35 cases of a certain soft drink. Ifeach case contains 12 cans of the drink,how many cans were ordered?Solution We have 35 cases, and eachcase has 12 cans. The total number of cansis the product of 35 and 12, which is 35(12):12 cans12 cans12 cans12 cans12 cans12 cans12 cans12 cans12 cans12 cans12 cans12 cans12 cans12 cans12 cans12 cans12 cans12 cans12 cans12 cans12 cans12 cans12 cans12 cans12 cans12 cans12 cans12 cans12 cans7. If each tablet of vitamin C contains550 milligrams of vitaminC, what is the total number ofmilligrams of vitamin C in abottle that contains 365 tablets?1212 cans12 cans12 cans× 3560 m888888 5(12) = 60+ 360 m888888 30(12) = 36042012 cans12 cans12 cansThere is a total of 420 cans of the soft drink.Example 8Shirley earns $12 an hour for the first 40 hours she workseach week. If she has $109 deducted from her weekly check for taxes and retirement,how much money will she take home if she works 38 hours this week?Solution To find the amount of money she earned for the week, we multiply12 and 38. From that total we subtract 109. The result is her take-home pay.Without showing all the work involved in the calculations, here is the solution:8. If Shirley works 36 hours thenext week and has the sameamount deducted from hercheck for taxes and retirement,how much will she take home?38($12) = $456 Her total weekly earnings$456 − $109 = $347 Her take-home payExample 9In 1993, the governmentstandardized the way in whichnutrition information is presented on thelabels of most packaged food products.Figure 1 shows one of these standardizedfood labels. It is from a package of FritosCorn Chips that I ate the day I was writingthis example. Approximately howmany chips are in the bag, and what isthe total number of calories consumed ifall the chips in the bag are eaten?Solution Reading toward the top ofthe label, we see that there are about 32chips in one serving, and 3 servings inthe bag. Therefore, the total number ofchips in the bag is3(32) = 96 chipsNutrition FactsServing Size 1 oz. (28g/About 32 chips)Servings Per Container: 3Amount Per ServingCalories 160Calories from fat 90% Daily Value*Total Fat 10 g16%Saturated Fat 1.5g8%Cholesterol 0mg0%Sodium 160mg7%Total Carbohydrate 15g5%Dietary Fiber 1g4%Sugars 0gProtein 2gVitamin A 0% • Vitamin C 0%Calcium 2% • Iron 0%*Percent Daily Values are based on a 2,000calorie dietFigure 19. The amounts given in themiddle of the nutrition label inFigure 1 are for one serving ofchips. If all the chips in the bagare eaten, how much fat hasbeen consumed? How muchsodium?NoteThe letter g that isshown after some ofthe numbers in thenutrition label in Figure 1 standsfor grams, a unit used to measureweight. The unit mg stands formilligrams, another, smaller unit ofweight. We will have more to sayabout these units later in the book.This is an approximate number, because each serving is approximately 32 chips.Reading further we find that each serving contains 160 calories. Therefore, thetotal number of calories consumed by eating all the chips in the bag is3(160) = 480 caloriesAs we progress through the book, we will study more of the information in nutritionlabels.Answers7. 200,750 milligrams8. $3239. 30 g of fat, 480 mg of sodium