Difference between revisions of "2013 AMC 8 Problems/Problem 4"
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Eight friends ate at a restaurant and agreed to share the bill equally. Because Judi forgot her money, each of her seven friends paid an extra $2.50 to cover her portion of the total bill. What was the total bill? | Eight friends ate at a restaurant and agreed to share the bill equally. Because Judi forgot her money, each of her seven friends paid an extra $2.50 to cover her portion of the total bill. What was the total bill? | ||
− | <math>\textbf{(A)}\ | + | <math>\textbf{(A)}\ </math>120 \qquad \textbf{(B)}\ <math>128 \qquad \textbf{(C)}\ </math>140 \qquad \textbf{(D)}\ <math>144 \qquad \textbf{(E)}\ </math>160<math> |
==Solution== | ==Solution== | ||
− | Judi's seven friends each paid $2.50 for her, so the total amount of money that was paid for her was <math>7\cdot | + | Judi's seven friends each paid $2.50 for her, so the total amount of money that was paid for her was </math>7\cdot <math>2.50 = </math>17.50<math>. This is Judi's portion of the bill; what she was supposed to pay. |
− | Judi was supposed to pay <math>\frac{1}{8}< | + | Judi was supposed to pay </math>\frac{1}{8}<math> of the total bill, so the total bill must be </math>8\cdot <math>17.50 = \textbf{(C)}\ </math>140$. |
==See Also== | ==See Also== | ||
{{AMC8 box|year=2013|num-b=3|num-a=5}} | {{AMC8 box|year=2013|num-b=3|num-a=5}} | ||
{{MAA Notice}} | {{MAA Notice}} |
Revision as of 12:08, 27 November 2013
Problem
Eight friends ate at a restaurant and agreed to share the bill equally. Because Judi forgot her money, each of her seven friends paid an extra $2.50 to cover her portion of the total bill. What was the total bill?
120 \qquad \textbf{(B)}\ 140 \qquad \textbf{(D)}\ 160$==Solution== Judi's seven friends each paid $2.50 for her, so the total amount of money that was paid for her was$ (Error compiling LaTeX. Unknown error_msg)7\cdot 17.50$. This is Judi's portion of the bill; what she was supposed to pay.
Judi was supposed to pay$ (Error compiling LaTeX. Unknown error_msg)\frac{1}{8}8\cdot 140$.
See Also
2013 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 3 |
Followed by Problem 5 | |
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 AJHSME/AMC 8 Problems and Solutions |
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