32 CHAPTER 1 Critical Thinking Skills 44. Guacamole Anthony’s recipe for guacamole calls for, among other ingredients, 4 avocados, 1 tablespoon (tbs) of chopped garlic and 5 tbs of chopped red onion. a) If Anthony only has 3 avocados, determine how much chopped garlic and chopped red onion he should include in the modified recipe. tbs 3 4 chopped garlic and 3 tbs 3 4 chopped red onion b) If Anthony has 6 avocados and wishes to make a larger batch of guacamole, determine how much chopped garlic and chopped red onion he should include in the modified recipe. 1 tbs 1 2 chopped garlic and 7 tbs 1 2 chopped red onion 45. A Balance On the following balance, where should the one missing block be placed so that the balance would balance on the triangle (the fulcrum)? Assume that each block has the same weight. at 1− 22 21 24 23 25 26 1 2 3 4 5 6 46. Palindromes A palindrome is a number (or word) that reads the same forward and backward. The numbers 1991 and 43234 are examples of palindromes. How many palindromes are there between the numbers 2000 and 3000? List them. 10: 2002, 2112, 2222, 2332, 2442, 2552, 2662, 2772, 2882, 2992 47. Telephone Number Words Following is a photo of the keyboard of a phone. Certain businesses like to use a word to help people remember their phone number. For example, a doctor’s office may use the word medical to represent its phone number, which would be 633-4225, or a shoe company may use the word running to represent its phone number, which would be 786-6464. Following are two numbers. Each number can be represented as a word that signifies something related to that business. Determine the words. a) 733-7374 ( Hint: could be used by a soft drink company) refresh b) 967-5688 ( Hint: could be used by a gym/fitness center) workout Pakhay/123RF 36. Purchasing Flashlights Refer to Exercise 35. a) Determine the maximum number of flashlights that can be purchased for $1100. Indicate how many boxes of 20 and how many boxes of 12 will be purchased. 3 boxes of 20 and 2 boxes of 12 b) How much will the flashlights cost? $1080 37. One Square Foot How many square inches, 1 in. by 1 in., fit in an area of 1 square foot, 1 ft by 1 ft? 144 square inches 38. Cubic Inches How many cubic inches fit in 1 cubic foot? 1728 cubic inches 39. Rectangle If the length and width of a rectangle each double, what happens to the area of the rectangle? The area is 4 times as large. 40. A Square Partition A 20 ft by 20 ft carpet is partitioned into 5 ft by 5 ft squares. How many squares will there be? 16 41. Cube If the length, width, and height of a cube all double, what happens to the volume of the cube? The volume is 8 times as large. 42. Pole in a Lake A pole is in the middle of a small lake. One half of the pole is in the ground. One third of the pole is covered by water. Eleven feet, or one sixth, of the pole are out of water. What is the length of the pole? 66 ft 1/6 1/3 1/2 43. Vegan Chili Kathleen’s recipe for vegan chili calls for, among other ingredients, 3 teaspoons (tsp) chili powder and tsp 1 4 of cayenne pepper. The recipe produces 6 servings. a) If Kathleen wishes to only make 4 servings, determine how much chili powder and how much cayenne pepper she should include in the modified recipe. 2 tsp chili powder and tsp 1 6 cayenne pepper b) If Kathleen would like to make more than 6 servings, but only has 5 tsp of chili powder, how many servings of chili can she make? 10 servings Asife/Shutterstock
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