Difference between revisions of "2007 AMC 12A Problems/Problem 1"
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== Problem == | == Problem == | ||
| − | One ticket to a show costs <math>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 <math>20</math> 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 == | ||
| − | < | + | <math>P</math> = the amount Pam spent |
| − | < | + | <math>S</math> = the amount Susan spent |
| − | * < | + | * <math>P=5 \cdot (20 \cdot .7) = 70</math> |
| − | * < | + | * <math>S=4 \cdot (20 \cdot .75) = 60</math> |
Pam pays 10 more dollars than Susan. | Pam pays 10 more dollars than Susan. | ||
Revision as of 19:37, 19 September 2007
Problem
One ticket to a show costs 
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
= the amount Pam spent
= 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 | |
