A breakfast-food company had a contest in which numbers were placed in breakfast-food boxes. A prize of $1000 was awarded to anyone who could collect numbers whose sum was 100. The company had thousands of cards made with the following numbers on them. Complete parts a and b below. 9 12 15 18 27 30 42 75 81 90 48 No O Yes 69 a. If the company did not make any more cards, is there a winning combination? b. If the company is going to add one more number to the list and it wants to make sure the contest has at most 1000 winners, suggest a strategy to use. Choose the correct answer below and, if necessary, fill in any answer boxes in your choice. O A. The company could place a card with the number 1000 on it. OB. The company does not need to add any additional cards, because it already has cards with the numbers cards. (Use ascending order.) OC. The company could place at most 1000 cards with the number 1 on the card. OD. The company does not need to add any additional cards, because it already has cards with the numbers cards. (Use ascending order.) OE. The company could place at most 1000 cards with the number 99 on the card. ., and and on them. The company could place at most 1000 of each of these on them. The company could place at most 1000 of each of these

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A breakfast-food company had a contest in which numbers were placed in breakfast-food boxes. A prize of $1000 was awarded to anyone who could collect numbers whose sum was 100. The
company had thousands of cards made with the following numbers on them. Complete parts a and b below.
15 18
30 42 48
9
12
No
Yes
27
69
75
81 90
a. If the company did not make any more cards, is there a winning combination?
b. If the company is going to add one more number to the list and it wants to make sure the contest has at most 1000 winners, suggest a strategy to use. Choose the correct answer below and, if
necessary, fill in any answer boxes in your choice.
A. The company could place a card with the number 1000 on it.
B. The company does not need
cards. (Use ascending order.)
C. The company could place at most 1000 cards with the number 1 on the card.
D. The company does not need to add any additional cards, because it already has cards with the numbers
cards. (Use ascending order.)
O E. The company could place at most 1000 cards with the number 99 on the card.
add any additional cards, because it already has cards with the numbers
"
and
on them. The company could place at most 1000 of each of these
and on them. The company could place at most 1000 of each of these
Transcribed Image Text:A breakfast-food company had a contest in which numbers were placed in breakfast-food boxes. A prize of $1000 was awarded to anyone who could collect numbers whose sum was 100. The company had thousands of cards made with the following numbers on them. Complete parts a and b below. 15 18 30 42 48 9 12 No Yes 27 69 75 81 90 a. If the company did not make any more cards, is there a winning combination? b. If the company is going to add one more number to the list and it wants to make sure the contest has at most 1000 winners, suggest a strategy to use. Choose the correct answer below and, if necessary, fill in any answer boxes in your choice. A. The company could place a card with the number 1000 on it. B. The company does not need cards. (Use ascending order.) C. The company could place at most 1000 cards with the number 1 on the card. D. The company does not need to add any additional cards, because it already has cards with the numbers cards. (Use ascending order.) O E. The company could place at most 1000 cards with the number 99 on the card. add any additional cards, because it already has cards with the numbers " and on them. The company could place at most 1000 of each of these and on them. The company could place at most 1000 of each of these
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