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Difference between revisions of "2007 AMC 8 Problems"

(Problem 5)
(Problem 5)
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==Problem 5==
 
==Problem 5==
  
Chandler wants to buy a <math></math>500<math> mountain bike. For his birthday, his grandparents
+
Chandler wants to buy a <math>\</math><math>500</math> mountain bike. For his birthday, his grandparents
send him </math>50, his aunt sends him <math>35 and his cousin gives him </math>15. He earns
+
send him <math>\</math><math>50</math>, his aunt sends him <math>\</math><math>35</math> and his cousin gives him <math>\</math><math>15</math>. He earns
<math>16 per week for his paper route. He will use all of his birthday money and all
+
<math>\</math><math>16</math> per week for his paper route. He will use all of his birthday money and all
 
of the money he earns from his paper route. In how many weeks will he be able
 
of the money he earns from his paper route. In how many weeks will he be able
 
to buy the mountain bike?
 
to buy the mountain bike?
  
</math>\mathrm{(A)}\ 24 \qquad\mathrm{(B)}\ 25 \qquad\mathrm{(C)}\ 26 \qquad\mathrm{(D)}\ 27 \qquad\mathrm{(E)}\ 28$
+
<math>\mathrm{(A)}\ 24 \qquad\mathrm{(B)}\ 25 \qquad\mathrm{(C)}\ 26 \qquad\mathrm{(D)}\ 27 \qquad\mathrm{(E)}\ 28</math>
  
 
[[2007 AMC 8 Problems/Problem 5|Solution]]
 
[[2007 AMC 8 Problems/Problem 5|Solution]]

Revision as of 14:02, 15 February 2010

Problem 1

Theresa's parents have agreed to buy her tickets to see her favorite band if she spends an average of 10 hours per week helping around the house for 6 weeks. For the first 5 weeks she helps around the house for 8,11,7,12 and 10 hours. How many hours must she work for the final week to earn the tickets?

(A) 9 (B) 10 (C) 11 (D) 12 (E) 13

Solution

Problem 2

650 students were surveyed about their pasta preferences. The choices were lasagna, manicotti, ravioli and spaghetti. The results of the survey are displayed in the bar graph. What is the ratio of the number of students who preferred spaghetti to the number of students who preferred manicotti?

Graph.jpg

Solution

Problem 3

What is the sum of the two smallest prime factors of 250?

$\mathrm{(A)}\ 2 \qquad\mathrm{(B)}\ 5 \qquad\mathrm{(C)}\ 7 \qquad\mathrm{(D)}\ 10 \qquad\mathrm{(E)}\ 12$

Solution

Problem 4

A haunted house has six windows. In how many ways can Georgie the Ghost enter the house by one window and leave by a different window?

$\mathrm{(A)}\ 12 \qquad\mathrm{(B)}\ 15 \qquad\mathrm{(C)}\ 18 \qquad\mathrm{(D)}\ 30 \qquad\mathrm{(E)}\ 36$

Solution

Problem 5

Chandler wants to buy a $$$500$ mountain bike. For his birthday, his grandparents send him $$$50$, his aunt sends him $$$35$ and his cousin gives him $$$15$. He earns $$$16$ per week for his paper route. He will use all of his birthday money and all of the money he earns from his paper route. In how many weeks will he be able to buy the mountain bike?

$\mathrm{(A)}\ 24 \qquad\mathrm{(B)}\ 25 \qquad\mathrm{(C)}\ 26 \qquad\mathrm{(D)}\ 27 \qquad\mathrm{(E)}\ 28$

Solution

Problem 6

Solution

Problem 7

Solution

Problem 8

Solution

Problem 9

Solution

Problem 10

Solution

Problem 11

Solution

Problem 12

Solution

Problem 13

Solution

Problem 14

Solution

Problem 15

Solution

Problem 16

Solution

Problem 17

Solution

Problem 18

Solution

Problem 19

Solution

Problem 20

Solution

Problem 21

Solution

Problem 22

Solution

Problem 23

Solution

Problem 24

Solution

Problem 25

Solution

See also