Difference between revisions of "2007 AMC 12A Problems/Problem 1"
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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 tickers using a coupon that gives her a 30% discount. How many more dollars does Pam pay than Susan? | 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 tickers 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</math> | ||
== Solution == | == Solution == | ||
| − | P=the amount Pam spent | + | $P$ = the amount Pam spent |
| − | S=the amount Susan spent | + | $S$ = the amount Susan spent |
| − | * <math>P=5 | + | * <math>\displaystyle P=5 \displaystyle \cdot (20 \cdot .7) = 70</math> |
| − | * <math>S=4 | + | * <math>\displaystyle S=4 \cdot (20 \cdot .75) = 60</math> |
Pam pays 10 more dollars than Susan. | Pam pays 10 more dollars than Susan. | ||
== See also == | == See also == | ||
| − | + | {{AMC12 box|year=2007|ab=A|before=First question|num-a=2}} | |
| − | |||
Revision as of 11:37, 9 September 2007
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 tickers using a coupon that gives her a 30% discount. How many more dollars does Pam pay than Susan?
Solution
$P$ = the amount Pam spent $S$ = the amount Susan spent
Pam pays 10 more dollars than Susan.
See also
| 2007 AMC 12A (Problems • Answer Key • Resources) | |
| 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 | |
