Difference between revisions of "2007 AMC 12A Problems/Problem 1"

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{{duplicate|[[2007 AMC 12A Problems|2007 AMC 12A #1]] and [[2007 AMC 10A Problems/Problem 1|2007 AMC 10A #1]]}}
 
{{duplicate|[[2007 AMC 12A Problems|2007 AMC 12A #1]] and [[2007 AMC 10A Problems/Problem 1|2007 AMC 10A #1]]}}
 
== Problem ==
 
== Problem ==
One ticket to a show costs <math>\</math>20\<math> at full price. Susan buys 4 tickets using a coupon that gives her a 25% discount. Pam buys 5 tickets using a coupon that gives her a 30% discount. How many more dollars does Pam pay than Susan?
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One ticket to a show costs <math>\</math><math>20</math> at full price. Susan buys 4 tickets using a coupon that gives her a 25% discount. Pam buys 5 tickets using a coupon that gives her a 30% discount. How many more dollars does Pam pay than Susan?
  
</math>\mathrm{(A)}\ 2\qquad \mathrm{(B)}\ 5\qquad \mathrm{(C)}\ 10\qquad \mathrm{(D)}\ 15\qquad \mathrm{(E)}\ 20$
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<math>\mathrm{(A)}\ 2\qquad \mathrm{(B)}\ 5\qquad \mathrm{(C)}\ 10\qquad \mathrm{(D)}\ 15\qquad \mathrm{(E)}\ 20</math>
  
 
== Solution ==
 
== Solution ==

Revision as of 18:04, 5 February 2008

The following problem is from both the 2007 AMC 12A #1 and 2007 AMC 10A #1, so both problems redirect to this page.

Problem

One ticket to a show costs $$$20$ at full price. Susan buys 4 tickets using a coupon that gives her a 25% discount. Pam buys 5 tickets using a coupon that gives her a 30% discount. How many more dollars does Pam pay than Susan?

$\mathrm{(A)}\ 2\qquad \mathrm{(B)}\ 5\qquad \mathrm{(C)}\ 10\qquad \mathrm{(D)}\ 15\qquad \mathrm{(E)}\ 20$

Solution

$P$ = the amount Pam spent $S$ = the amount Susan spent

  • $P=5 \cdot (20 \cdot .7) = 70$
  • $S=4 \cdot (20 \cdot .75) = 60$

Pam pays 10 more dollars than Susan.

See also

2007 AMC 12A (ProblemsAnswer KeyResources)
Preceded by
First question
Followed by
Problem 2
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 12 Problems and Solutions
2007 AMC 10A (ProblemsAnswer KeyResources)
Preceded by
First question
Followed by
Problem 2
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 10 Problems and Solutions
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